Goddess - Now I understand your concern. You will find electric fence to be your best friend. I personally don't have it around my coop and run, but we have used it around our sweetcorn patch to keep the coons and deer out. Otherwise the deer are nipping it off as soon as it starts coming up, and the darn coons wait until the day before it's ready to pick, then go in that night and destroy the whole thing. It wouldn't be so bad if they only took an ear or two, but they'll knock it all down and take a bite or two out of each ear. Sorry to digress. I like that you pay for your coop and run materials as you can by selling your eggs and chicks. What kind of eggs are you hatching?
I think the idea of keeping animal products out of your compost was to cut down attracting animals that would eat the meat, bones, etc. and poop in your compost, possibly spreading disease and parasites.