Sounds like a raccoon to me. He has both the strength, hands, and the manual dexterity to hold a chicken against the wire while he eats what he can access through the 2X4 inch wire....I redid the windows with 2 x4 wire.... It looks like they snap the neck or bite it to kill the chicken then proceed to eat from the backside in....
However a coons' hands and his manual dexterity becomes his downfall when he tries to retrieve desert from the bottom of a Duke DP trap. Coons live in family groups or more precisely colonies. When you catch one coon you may well catch a dozen or more before you thin the population to what the natural environment can support without eating your chickens.