Having hunted coyotes quite a bit years ago, I can see some advantage to an AR. The main advantage I can think of in coyote hunting is there is less movement with an AR or any other semiauto because your hands don't move around to work a bolt. Most animals, and particularly predators, are very alert to movement. If you set up in a ground blind with a camo cover, not having to move to get off the second shot may very well net you more coyotes.
If you go flailing around in in the brush wearing a red shirt and jeans, laughing and walking around, it won't make any difference anyway.
And I would match my AR against just about any bolt action for accuracy. A good scope, good fire discipline, and look out.