You are absolutely right to suggest that only a 'local' resolution will hold, but where is the will for this to happen? The deafening silence of the Gulf States and Saudi Arabia speaks for itself, and can only signify either their complicity or fear. More likely their effort will be to turn the jihad towards the west which will buy them a few more years but at immeasurable cost to those whose only error is their choice of the wrong religion, or none.
Bob C