One cannot prove or disprove the existence of God, but by ruling out all other alternatives, if that's what you are asking of me.
Well, this is another question: it would be difficult to rule out all other alternatives or decide that God (your specific one) was the answer. Or perhaps my point is that those who support the "God hypothesis" regress too quickly to that hypothesis. Why might it not be ghosts, or demons, or Satan (a favourite of the Cathars, I might add) or any other supernatural explanation?
But I am trying to remain on topic here, and debate evolution; which is why I would like to see proof of evolution. If you wish to 'move the goalpost' we can debate the existence of God in another topic, unless it relates directly to evolution.
I'm only interested in it here as the "alternative hypothesis" to the naturalistic theory of descent with modification/life/evolution/etc.
Saying it has been proven innumerable times is a logical fallacy and I will not accept that as an answer.
The argument actually falls in two segments here:
i)
evolution, as changes in allele frequencies. I hate to be insistent but
this is not in dispute. It is utterly, utterly correct. Allele frequencies do indeed change, as any survey of population genetics will indicate. This point cannot be debated, unless we wish to debate the very existence of mathematics. So, conversely, I cannot accept debate on this point.

. We therefore move past this point, accepting this as fact; the dispute (I will assume) arises in whether or not these changes are associated with some outward sign of speciation or:
ii)
Descent with modification: This refers slightly more specifically (although the issue is more properly
Neo-Darwinian these days) to outward morphological change and reproductive isolation (for the purposes of debate and sanity I will ignore all definitions of speciation besides the Biological Species Concept, which is the only proper one anyway). This, I think, we can debate since it is to some sectors debatable, unlike the actual definition of evolution
per se, above.
You have mentioned several ideas that relate to evolution but not shown me how the provide evidence for it.
Well, let's start with the biological series of modifications in the descent with modification (DWM) of the horse. I have attached a segment from a popular science site. The bolded text at the top of each section describes a Genus (order of taxonomy above species: several big cats would all be in the Genus
Panthera, although the species 'tiger' would be
Panthera tigris and lions
Panthera leo. The dates given afterwards refer to agreed-upon conventions by researchers. (I should add here that these are not arbitrary dates, but independently evaluated numerous times.) Observe the changing description of each Genus in increasingly recent periods. I've italicized the dates and features.
Miohippus
Soon after Mesohippus celer and its very close relative Mesohippus westoni appeared, a similar animal called Miohippus assiniboiensis arose (approximately 36 My). This transition also occurred suddenly, but luckily a few transitional fossils have been found that link the two genera. A typical Miohippus was distinctly larger than a typical Mesohippus, with a slightly longer skull. The facial fossa was deeper and more expanded. In addition, the ankle joint had changed subtly.
Miohippus also began to show a variable extra crest on its upper cheek teeth. In later horse species, this crest became a characteristic feature of the teeth. This is an excellent example of how new traits originate as variations in the ancestral population.
Kalobatippus
This genus is not well known, but its teeth seem to be intermediate between Miohippus and the later Parahippus (see below).
Parahippus
Arose in early Miocene, 23 My. A typical Parahippus was a little larger than Miohippus, with about the same size brain and same body form. Parahippus was still three-toed, and was just beginning to develop the springy ligaments under the foot. Parahippus showed gradual and fluctuating changes in its teeth, including the permanent establishment of the extra crest that was so variable in Miohippus. In addition, various other cusps and crests were beginning to join up in a series of strong crests, with slightly taller tooth crowns. Parahippus evolved rapidly and was quickly transformed into a fully spring- footed, hypsodont grazing horse called Merychippus gunteri. This burst of evolution took place about 18-17 My. Later fossils of Parahippus (e.g. the species Parahippus leonensis) are so similar to early Merychippus that it's hard to decide where to draw the line between the genera.
The changing age of the fossils and the transient differences strongly suggests a line of modification, does it not?
Merychippus
Arose 17 My ago. A typical Merychippus was about 10 hands (40") tall, the tallest equine yet. The muzzle became elongated, the jaw became deeper, and the eye moved farther back, to accommodate the large tooth roots. The brain was notably larger, with a fissured neocortex and a larger cerebellum, making Merychippus a smarter and more agile equine than the earlier horses. Overall, Merychippus was distinctly recognizable as a horse, and had a "horsey" head.
Unlike its prior ancestors.
Merychippus was still 3-toed, but was fully spring-footed. This animal stood permanently on tiptoe, supported and propelled by strong, springy ligaments that ran under the fetlock. The side toes were still complete, but began to be of varying sizes; some Merychippus species had full-size side toes, while others developed small side toes that only touched the ground during running. The central toe developed a large, convex, "horsey" hoof, and the legs became longer. The radius and ulna of the forearm fused so that leg rotation was eliminated. Likewise, the fibula of the shin was greatly reduced. All these changes made Merychippus' legs specialized for just one function: rapid running over hard ground.
At the same time, forests were disappearing, being replaced in many places by plains. Adaptation for fast overland travel would benefit the horse in this scenario.
Pliohippus
Arose in middle Miocene (~15 My) as a three-toed horse. Gradual loss of the side toes is seen in Pliohippus through 3 successive strata of the early Pliocene. Pliohippus was very similar to Equus and until recently was thought to be the direct ancestor of Equus, except for two significant differences. First, Pliohippus's skull has deep facial fossae, whereas Equus has no facial fossae at all. Second, Pliohippus's teeth are strongly curved, and Equus's teeth are very straight. Though Pliohippus is obviously related to Equus, it probably didn't give rise to Equus.
Again - increasing similiarity to
Equus, the modern horse. Toes being lost with decreasing remoteness in evolutionary history, longer legs, and so forth. An animal specializing for the plains, unlike the earlier genera which were in a much more forested environment.
Astrohippus
Astrohippus (~10My) was another one-toed horse that arose shortly after Pliohippus. Astrohippus also had large facial fossae, and was probably a descendent of Pliohippus.
Dinohippus
Finally, a third one-toed horse called Dinohippus (recently discovered) arose about 12 My. The exact ancestor of Dinohippus is not yet known (see Evander, 1989). The earliest known species are D. spectans, D. interpolatus, and D. leidyanus. They look smashingly like Equus in foot morphology, teeth, and skull. The teeth were slightly straighter than Merychippus, and the facial fossae were significantly decreased. A slightly later species was D. mexicanus, that showed even straighter teeth and even smaller fossae. Dinohippus was the most common horse in North America in the late Pliocene, and almost certainly gave rise to Equus. (Recall that Equus has very straight teeth and no fossae.)
...
Throughout the end of the Pliocene, Dinohippus showed a gradual decrease in the facial fossae, straightening of the teeth, and other gradual changes, as Dinohippus smoothly graded into Equus. (Hulbert, 1989)
Equus
Finally we arrive at Equus (4 My), the genus of all modern equines. The first Equus were 13.2 hands tall (pony size), with a classic "horsey" body -- rigid spine, long neck, long legs, fused leg bones with no rotation, long nose, flexible muzzle, deep jaw. The brain was a bit larger than in early Dinohippus. Like Dinohippus, Equus was (and is) one-toed, with side ligaments that prevent twisting of the hoof, and has high-crowned, straight grazing teeth with strong crests lined with cement.
Members of Equus still retain the genes for making side toes. Usually these express themselves only as the vestigial "splint bones" of toes 2 and 4, around the large central 3rd toe. Very rarely, a modern Equus is born with small but fully-formed side toes. (see Gould, Hen's Teeth and Horses' Toes.)
...
Compare Equus to Hyracotherium and see how much it has changed. In no way can Equus and Hyracotherium be considered the same "kind". The change from Hyracotherium to Equus is truly long-term, large-scale evolution.
http://www.talkorigins.org/faqs/horses/horse_evol.html (A little old, but forgive me.)
I will wait until you do to address those issues.
With this post, I have done so.
You then question me about Bible stories, as if that has any bearing on evolution.
You argued above that God is the explanation left when all other explanations have been ruled out; I merely wish to ensure we are not too quick to do so, and that what we conclude as "God" is in fact definably that. I caution you that this might well be impossible.
I believe in God. I do not pretend to know what his purpose in all things is, and could only guess - if the questions were not loaded to begin with.
Good. I believe in God also, and I sympathize with you greatly, Pteriax - these questions are not loaded in any way. I am discussing the issue very honestly with you, and I know that you will do the same.
That last question... no, it does not. It only speaks of our ability to consume and destroy everything with little hope for balance and renewal. I don't think it proves anything about evolution, though it demonstrates a thing or two about sin, IMHO.
But why not? Think, Pteriax:
we have destroyed these species, ourselves. We, a humble natural force, have changed the species landscape. Gone is the sabre-toothed cat. Gone, the giant camel, the mammoth, and almost the elephant, the tiger, the bison, the bear. We ourselves impose a new selective regime on the planet, favouring those things that are too small or too unpalatable to be exploited or threaten our livelihoods while simultaneously promoting the biomass of those we employ (cows, goats, dogs). We impose macrochanges to the very planet. Does this not illustrate the seemingly random survivability of some taxa, and the sensitivity of others? Even size is not necessarily a predictor. Why can not the natural environment exert the same pressures?