with one of our dogs killing other animals, I’d give it one chance to be corrected before writing the dog off entirely. And that almost certainly would mean putting the dog down. I’m not sure why you’d want to ‘re-home’ (or whatever they call these animal rehab centers) a known dangerous animal. I’ve seen people accept dogs as just ‘aggressive to other animals’ which then turn on children. That risk is too great.
What’s also bad is when people then abandon those dogs in a rural area, figuring that someone else will deal with the problem. Those dogs inevitably form a pack and start preying on livestock. We shoot them on sight.
Would you shoot a kid you caught in (literally) your watermelon patch?
Happened a year about in Detroit - pack of strays living in a warehouse on the SW side killed a man who I believe was trying to be nice and feed them.