If an animal is destroying property, then wouldn't that give you the right to shoot it? I know that's the way it is here....it includes neighborhood dogs, bears, mountain lions....anything. You do however have to report that you've shot something like a dog, bear, or lion to the conservation department.
I have been in contact with the animal control in my area. I do have the right to protect our live stock. I feel better about shooting them now if I have to.