And while I'm with you on the knee jerk reaction to bomb the whole place what happens when you bomb Mecca is that you increase the size of Al-Queda x Ten Million. That is what they want! Play chess and think 5 moves down the board.
The Chinese believed in wiping out 7 generation's of your enemies family to eliminate any retribution.
I'm in favor of dropping in Special Forces that can "arrange" for the disappearance of the hate mongers that indoctrinate the children, leaders complicit with the terrorists and anyone that supports them.
The way to defeat the terrorists is patience and by making them appear to be the bad guys to the people likely to follow them.