divegirl, I live in the western U.S. and have hunted/fished most of my life... learned it from Dad and Grandfather. We raise beef cattle with myriads of predators... so usually I shoot anything edible, including pronghorn antelope, mule deer, elk, moose, bear, and of course squirrels, rabbits and the occasional wood chuck. Shoot game birds in season and fish for trout in all the streams. Having said that, I have no compunction about dispatching coyotes, nor would you, I suppose, after seeing one or a group eat the rear end out of a calf while it's still alive. I don't think I've ever wasted anything I've killed, other than the rare rabid skunk. So, if that makes me "just another American"... so be it.
I'm one of the best shots around and never, since age 12, has any animal suffered at my hands. On the other hand (no pun intended) I've seen literally hundreds of game animals die in harsh winters after starving for several weeks or months. I guess I'd rather see the animal dispatched with a 30-30 Winchester, cleaned expertly and eaten (hide makes beautifully soft gloves, by the way) than see them in March huddled together in the trees down by the river giving birth to fawns that will starve to death since their mothers have no milk...I suppose that would be much more humane, no?