Bringing the thread back on topic... sorta...
If the high ground is irritatingly high mountains, give the enemy the high ground. While he's playing junior mountain goat, go to his village, rape the women, kill the children, eat all the food, steal anything worth carrying, and then burn the place down.
Yea, it's not the western way of waging war but that's pretty much why we don't actually "win" wars anymore. Being the good guy is more important than actually winning, so we go in, kill a few thousand people, declare moral victory, and leave the country to those who ARE willing to wage total war.
If it was our own land, then yea I could see us doing the total war plus atrocities thing, but we haven't fought over our own land for quite some time now. Except for the illegal immigration invasion, but our fed govt has already surrendered so that doesn't count.