I love that picture!!
I had 2 cats that slept in the coop every night for a while. They were just kittens and as soon as they heard me calling the chickens they would run into the coop and pick a nesting box. They would nap in there off and on too.
Now they are older and don't sleep in there but the are always in the run. We have quite a few cats around our farm and never have had a problem between them. Sometimes the cats decide the chicken scraps are for them, but the girls usually let them know different!!