Mine are mostly all found mutts, I do have one that appears to be a pure bred lab. Regardless, these girls are all trained to keep the neighbor's yippies(FENCE!) out of our yard and I know if a raptor makes it to ground in my yard on a chicken they will either dispatch it or run it off. I have 4 great LGDs. They aren't interested in being outside much unless the chicken feeders are full as they are thieving hungry things for some reason, but when they are outside they are on guard.
Now my cat, he is the real hunter/killer beast. That boy has taken down mature possums and full size jackrabbits. 1000's of rats have also met their end with him as well, so he is the better dog. Plus he spends 99% of his time outside in his sadist playground. Yes he is a sadist, I have personally seen bloody pinkies crawling everywhere after one of his surgeries, and that is impossible to unsee.
One final plus point for the cat is unlike my dogs he doesn't roll in the rotten things he leaves in the yard like the dogs will.