Looks like it was a bobcat. We've got him on the game cam going in and scoping the coop out a couple nights later. That also explains my neighbors missing their small dogs.
We went out this morning to find one of our chickens completely missing, and the other 3 dead in their fenced in area. The 3 left were not missing any parts or other wounds, only fang marks in their necks. We can't figure out what would have killed all 4 grown chickens, and only taken off with...