Coyotes have thinned out some of the game around my house. They seem to run in cycles. I had a lot of pheasants and rabbits around my place, but I've been seeing few of them, and more coyotes than usual.
There was a fellow who hunted them for a couple of years, around my place and during that stretch I heard a lot of pheasants and saw a lot of other animals.
I will say that squirrels seem to be doing fine, it's the rabbits and pheasants that are conspicuous by their absence. I do think the coyotes do tend to kill more in the way of house pets and semi-domesticated cats than anything, since they aren't as savvy to the ways of predators as genuine wild critters.
In the state parks and forests around me, I think things are fairly in balance. I've not seen a lot of any particular kind of game, but plenty of sign. I didn't kill a deer this last season, but I just found out from a long-time local hunter that I've been hunting the wrong area.
SP