You are partially correct. we shouldn't just bomb and run...
We need to take those surviving terrorists that we catch, try them, and then hang them very publicly. And allow their rotting corpses to be eaten by vulcures as they continue to swing from the (by then) very smelly gallows.
If Aljezzera won't brodcast the graphic executions, then they should be bombed... But other than that, the bombing could stop.