another assumption with radiometric dating is that you know how much of the material there was to begin with.That's a cleverer argument.
Yes according to quantum physics, until the crystal is looked at all the atoms of Uranium are in a state of possibly having turned to lead.
But, if you knew how old the crystal was, you could still predict the proportion which would have turned to lead.
Similarly, once you look at the crystal, you can tell the amount of time which must have passed to make that proportion of Uranium turn to lead.
Unless the laws of physics were different in the past.
You are back to your original argument.
yet another is that no outside sources influenced the outcome.
and then there is the problem of constant decay rate.
http://arxiv.org/abs/0808.3156
the above link shows the decay rate is not as certain as you would like to believe.