I'll give a recommendation. We start taking out all the radical mullahs who foment this hatred against us. Worldwide.
Yes, but according to your own analysis, "taking out" Mullahs wouldn't solve the problem. If Islam is the source of the problem, we will (according to the logic of this view) also have to "take out" every follower of this religion. If we don't (again, according to the logic of your view) new Mullahs will always be waiting in the wings.
Here's a simpler and more realistic idea. Let's retaliate against the Bin Laden gang and then totatlly withdraw from the hopelessly screwed up Islamic world