I am not sure if bombing sheds, buildings and technicals with machine guns would be enough. This would likely require a political solution of some kind. Sadly, it seems that the societies in that region are often held together by strongmen and their thugs.
Perhaps, bombing is just a form of containment, allowing the sectarian conflict to play itself out. Meanwhile, the world would receive cultural imports in the form of refugees. I am not sure if that would be a good thing.