How would it not work? They'd up the ante? Then we'd up the ante, and we have a larger betting pool. We can quash this, or play games. You seem to enjoy the games.
What good does taking out their holy sites do? You think once we do that the one billion Muslims around the world are going to say, "I guess America was right and good after all"?
Instead of a couple hundred thousand insane suicide bombers we will have tens of millions.