I do not kill predators. I do my level best to repel and block predators. We have built a very nice, solid, secure run made of very heavy lumber and hardware cloth with a roof, and the chicken house has a concrete floor, steel doors, and steel walls. They would have to know how to turn door knobs and pull open a heavy steel door mounted on a auto-closing hinge in order to get in at night.
My chickens ONLY free range when I am there watching them. And even then I wouldn't call it free range. They are very tame and tend to stick right by me for the most part, and I hang out in the yard with them between the barn and the house. I don't let them just wander off to the woods or go to the road, etc.
A couple months ago the neighbor's 2 huge dogs came to my property and were sniffing around. We ran them off and called the neighbor's immediately and told them to contain their dogs. They did - they have not been back.
My #1 predator is Red Tail Hawks. I keep my chickens under lock and key so the Red Tails cannot take them.
Predators are programmed to kill and eat. It's what they do. Chickens are cheap, easy prey. It's my job to protect them with a predator proof dwelling. If I choose to set up a lunch buffet on my farm, then I need to also choose to repel predators.
My husband shot and killed one fox but he was extremely managey, it was the middle of winter, and the poor thing was starving and freezing to death. A bullet was a quick, humane end. He did manage to kill one hen (this was BEFORE we built the predator proof dwelling for the chickens.) But I assure you, he was NOT killed because he killed a chicken. He was killed because he was sick and suffering badly.
No, I don't eat meat, and no I don't kill animals for my enjoyment or my use. EVER. I do not support commercial meat, leather, milk, and egg industries. I don't buy wool, or commercial honey, etc... It's simply my choice. I have good friends and family who do use their products, and that is their choice. I have no ill will toward them in the least, and they can do as they wish. I simply do as I wish. I don't force my opinions or my beliefs on anyone, and most people don't even know unless they specifically ask.
For me PERSONALLY, I would suffer days or weeks of depression and anguish if I had to kill an animal because it killed a chicken. First off, I wouldn't do it, but if I "did" for some reason, it would haunt me. The death of that poor fox, even though it was to end his suffering, still bothers me to this day. One death does not justify another death. I am a natural born nuturer and protector. I am the one rehabbing animals, taking in strays, saving the sick and patching the wounded.
Sure, you can kill a coon and guarantee that IT won't bother your flock again, but another will replace it. And then another, and another. When I was growing up, my grandparents raised many chickens, ducks, turkeys, and other animals. They were CONSTANTLY shooting and trapping predators and the stream of predators just never stopped or even slowed down. It was the joke that we'd wake up at 5 a.m. to the sound of gun fire because Grandpa was shooting a coon or oppossum off the back deck. Yes they killed hawks too, and it made absolutely ZERO impact on their numbers. I think the more you kill, the more just move in from other territories.
It got to a point I was scared to go to the barn yard to do chores because I would have to see a poor animal suffering and dying in a jaw trap with broken bloodied legs. All the killing seemed so senseless and painful and really scarred me as a kid. Then with all the butchering of pigs and chickens and rabbits...ugh I absolutely hated it. Was determined to never go that route as an adult. And I haven't.
But if YOU want to kill predators to protect your flock, then by all means go for it, as long as it's legal. I have NO problem with it, and would never chastise someone for doing something I personally could not or would not do. To each his own. That's just how I do it here.