The problem is there is no real central authority that can call this crap off. Lunatics of varying stripes with a relation to Islam is something much different than the type of enemy posed by a national government like the Nazis or the Chinese. Our military strategy for decades was postulated on this traditional view. Islamic terrorism is not capable of defeat under that strategy which will have to become much more diverse in tactics and much more controlled from the local level. This is a very dificult transition our boys must make.
The long-term answer is infiltrating and wrecking these organizations from within. The CIA people were quite good at that sort of thing at one time. But even then there weren't any spooks to speak of in the Middle East who could blend in with the crowd. The lack of spooks who look and speak Arabic/Farsi, etc., is a liability that will take years to overcome so it's going to be a while before we can get inside Al Qaeda & Co.
The short-term strategy, if you can call it "short", is to keep pushing on the dominoes until all the terrorist-sponsoring governments fall. From there on, it's a spooks/special ops show.