Lebanon has tried. Are we going to nuke Lebanon? Probably not
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If it is an undefined stateless muslim group just nuke Mecca Medina and Riyadh. Total and absolute end to the muslim cult. All the remaining adherents will convert because their ‘god’ has been humiliated and shown to be less powerful than the God of the West; further, its personally humiliating for those individuals to pray 5 times a day to radioactive ruins.
Depending on how you count them, there are two, three, or more varieties of Muslim. The problem with the nuke them all and let God sort strategy them out is, it lacks the fine, but critical gradations with which they see themselves. Not covered by the media there are significant Muslims who are as much endangered by what we call radical Islam as we are. I’d like to point out that the west has no competing theology and is fractured and incapable of mounting the sustained effort that must follow to ensure success. There are 1.5 billion Muslims, quite a few of which are voters in the Western world. Imagining a conflict where the opponent does what you need him to is a losing strategy.