I'll put my two pennies in this also. I have a cat (fuzzy wuzzy) my daughters cat. He stays outside in our barn or on our deck and sometimes in my bass boat! He is not a stray he does free range where he likes. Is a great mouser and I like to think he keeps our barn from being over run by vermin. Does not bother the chickens. Not even the smallest chicks! This surprises me I figured he would have some chicken nugget snacks but he don't mess with them. I'm not much if a cat person, I don't mind them just like to see'em outside more than inside. Not all outside cats are strays. But there are a lot of farrel cats roaming the country (and city) side! I say get rid of them how you choose.
I feel the same about cats but not all cats are alike just like all dogs are not alike.