I would not domesticate one. They are programmed to survive in the wild and anything that changes their behavior puts them at risk.
I enjoy watching them, but we also have to string our chicken run/orchard so they will leave the chicks alone. It’s been very effective and hopefully when the fruit trees are large enough we won’t have to do it anymore.
My hawk also drops snakes... maybe he has a claw problem. I have a small lake right by the house and I find dead water moccasins in perfect condition except a few inches where they got grabbed and swooped up.