No thanks on the latter -- I've pretty much held Disney in contempt ever since realizing that the whole point of Bambi was to demonize hunters. :)
One of the points of my post, which you apparently missed, is that horses are, in fact, a native species and disappeared from the American continent because of humans. If BLM has any intelligence left, it would introduce the horse's natural predators back into its present environment (which were NOT humans, by the way), and that would take care of the problem, by and large.
If wild horses were disappearing, you might have a point. The fact that we have a wild horse disposal problem is proof that wild horses are both adaptable and most unlikely to disappear.
We do, after all, have dominion over the earth - with having reached the top of the food chain goes the responsibility to manage wisely.