Not all of us encourage executing criminals (10 states or so).
As far as hunting for sport goes: I don't know anyone who goes hunting just for the hell of it. Some people purely enjoy it as a sport, and they'll give the animal to someone else to clean and eat.. but nobody ever just leaves the animal to die because they want to kill.
People who enjoy watching animals die usually become serial killers. I also read somewhere that if you hook your y's and your j's, that you have serial killer tendency. I stopped doing that immediately