The Buddhists say desire is bad. The Christians say lust is bad. Neither is right. It is false desires or lusts that are bad. They produce false restrictions and compulsions, and in many cases perversions.
If you argue a strawman, I guess you can come up with whatever conclusion you want.

To wit, Buddhism does not say "desire is bad". Buddha actually says that
craving is the
source of suffering. There is not much concern with "bad" in the typical religiously moral sense. It is all about consequences and what leads to more/less suffering.
Craving is described as compulsive, and the need to cling to that thing. The three main types of craving seen as the source of suffering: pleasure, permanence, and annihilation, all stem from ignorance with regard impermanence. At least according to Buddha.
So not only does Buddhism not state a blanket "desire is bad", but already limits it to "cravings" (what you seem to describe as "false desires), and to matters of "suffering". So, yeah, very much a strawman on your part with regard Buddhism, presumably based on ignorance that even a little Google-fu could help eradicate.
As for what Christianity says, "lust" is already considered a "false desire" - or more precisely a "disordered desire". There are no "good lusts" (or maybe you'd care to name one?). So Christianity is already limiting the "desires" in the way you claim they are not.
Basically it's just muddled thinking/language on your part, but maybe there's a hint of strawman in this part as well. Until you clear up the former, I'll reserve judgement on the latter, though.