I would think technology would allow for taking a DNA sample from the corpse, tagging it and keeping track of how the body was disposed and handle the ID matching after the fact.
Yes. That's possible I would think. I pray they do that.
True. And with military in charge, their body-handling procedures would be set up for exactly that sort of thing.
Computer programs are available for rapid comparisons, especially to eliminate obvious mis-matches.
So old dental x-rays can be used to identify large numbers of bodies with a reasonable amount of effort and expense.
Combine both dental x-rays and DNA comparisons, and it is definitely feasible to identify most missing persons for even the worst-case scenario numbers here.