Raven, I totally understand what you're saying.
I'm a hunter. I enjoy hunting. I don't hunt for subsistence, but I only kill what I eat. I don't hunt for fur. That's just me. Same ethic goes for fishing, but now I mostly limit my kills to tasty bottom fish.
I understand the need to bring populations in balance when things are outta whack.
If a few million feral cats need to be culled - FINE.
I'm splitting hairs now, but I don't think it should be called hunting - it's really pest control. Don't know anyone who would go out of his way to eat cat meat, and displaying cat (or dog) fur would horrify most people.
Do it humanely - bullet in the head and off to kitty heaven.
I'd much rather snipe a cat quickly than drown it or poison it.
It bothers me that a lot of hunters (I would venture to say the majority of them) HATE cats.
Call me a fool, but when I see a neighborhood cat in the yard, I scoop it up and scold its owner about the dangers of coyotes and unwanted kittens. Far from me to shoot a stray cat, I'm the neighborhood sucker who puts out a bowl of milk and a can of tuna for it.
When we domesticate an animal we have a responsibility to take care of it.

Pisses me off.