They're called varmints, bad guys, brutes. They're trapped, chased, harassed, poisoned, shot. The Native Americans accepted these animals and used them as examples and success stories in their legends. The coyote, for example, was always the wily one that needed to be taught a lesson when he got greedy. But because people are affected by the new behavior of these predators, laws are passed giving people license to kill.
Varmints have few enemies other than man.
That's what the encroaching settlers did to the Indians, too. What's wrong with setting aside more wilderness areas for the varmints to use as hunting grounds. That means fewer housing developments, but it might be worth it just to know we've been fair to them thar varmints.