As for an overpopulated animal, I imagine there must be a better way to deal with that than allowing people to shoot them. Don't get me wrong, I'm not some bleeding heart when it comes to animals, they aren't all perfect snowflakes of uniqueness, I don't don't see the reason to cause an animal that can feel pain to feel that pain without a good cause. To me, "we've been doing it for generations" is not a good cause.
Edit: I'm still interested in having this discussion, but preferably along one of the established threads sprouting from this, unless the point of view hasn't been covered in a reply. There's as little point in me replying the same thing multiple times as there is in having multiple replies to this stating the same thing, but that doesn't mean there aren't interesting things to be said on this topic.