^^
My understanding is that in most states, hunters are only allowed to take "permitted" animals - that is, animals that the state permits you to shoot, trap, or catch. Like what happened in Canada (discussed elsewhere in another thread) - hunters were permitted to take polar bears, and permitted to take brown bears (grizzlies?), but not permitted to take hybrid brown/polar bears. So, if I recall correctly, an American hunter got a huge fine for shooting a bear that was virtually indistinguishable (to the naked eye) from a bear he was permitted to take.
Presuming one lives in a reasonable state - and that the shooting has been highly publicized so that it can't be swept under the rug - whomever first shoots and kills AND makes it out with the body could be reasonably safe.