I hunt and call a lot of predators. In fact, I hunt more predators than I do any other animal.
My primary calling rifle is a Colt Accurized Flat top AR15. I've got a Springfield Armory 4-16X56MM Mil Dot Scope sitting on top of Warne Tactical rings. It is a little on the heavy side, but I've carried heavier in the military so it doesn't bother me.
I am going to go out on a limb here and say that in my opinion, the AR15 weapon system is the single best system for hunting predators. The pro's outweigh the con's by a looooong way.
The two single most important things an AR has to offer is accuracy and shootability. I have groups shot using 55 grain V Max's and Varget that can be covered with a dime. This rifle also just kind of seems to point itself. You can pick up a running coyote at 100+ yards with no problem.
Go buy an AR (Colt, Bushmaster, RRA, DPMS) and hunt with it. I promise you won't be disappointed.