I don't mind humane culling/hunting if it is done for the purpose of wiping out feral populations or balancing up numbers in areas where natural predators have been removed. Here we have so many feral horses, rabbits, foxes, camels, cats, dogs etc. causing havoc in some of our most sensitive ecosystems. I am a huge cat and horse lover but I have no issue with feral populations of them being completely wiped out.
I have gone shooting before (I don't shoot I just tagged along to watch) as my dad used to shoot rabbits and foxes on my grandparents' farms. However, I do not like the hunts where the animals are fed to attract them in and then shot (I saw this on a television show where it was in an African game park) or the animals are let out of cages and then shot.
There is no sportmanship and no purpose in that kind of 'hunting'. There just seems to be no skill or respect in shooting at an animal that is just let loose into your sight.
I also do not like people who take shots at animals and they are not clean kills. Furthermore, people seem to forget that if you don't hit anything your bullet is still going to end up somewhere. Having been a lurker on a few American horse forums, all I can say is that hunting season sounds absolutely crazy over there. People getting shot at in their yards, trespassers hunting illegally on properties, livestock such as cattle and horses getting shot etc. I would be too freaked out to leave my house if that happened here and I backed onto bush.