Cats kill Turkeys Poult's and a host of other wildlife. Who say's cat's are not destructive. I own 3 fixed cats and they are inside only cats. I have no mice. Last year I finally had a rabbit frequenting my backyard and within a few days I saw one of the neighborhood cats eating something under a bench in my backyard. I opened my back door and started walking towards it and it took off with a rabbit in it's mouth.