I play airsoft, and we use guns that are quite pricey and shoot in excess of 400fps. Sometimes 600fps. I have been shot in the face by one of these (430 fps) at about 20 feet. (That was delightful). I got a nasty welt. Additionally, I shot my brother in the buttcheek with a pellet rifle pumped up as much as I could physically pump it, and it left an abrasion. So I am not sure what pellet and BB guns these are that would seriously gut wound a coyote. And unless suppressed, they still make enough noise to concern the neighbors. That aside....
There is a difference between animals rights and animal welfare. I don't consider myself anthropomorphic to any extent. (Though if you shot my cat you'd be in a world of trouble.) I am a believer in animal welfare. By this I mean, animals should be treated decently and killed in a decent fashion. I DO consider coyotes to be pests, and they are imbalanced in population due to the fault of humans and our own urbanization and overpopulation, period. When they are overpopulated in farmland, it's because people don't see a point to hunt them. Or maybe consider it too challenging for little reward (meat). I can't guess, because we hunt them when and where we can. People should hunt them also.
I don't think being agnostic is relevant, really. It's a matter of morality and consideration. (Certainly I can't say kindness.) I know when I hunt I am out there to kill an animal. I harvest my tomatoes.
My entire point was, and this is my second post regarding hunting within a "neighborhood", is the inability to do anything. The inability to do anything I translate into the inability to do anything legally and humanely.
And then the moon, like to a silver bow new bent in Heaven