Odd, that's pretty much what the Muslim extremists are saying, except they want to kill the "unbelievers".
I'm unable to find an example in history where committing genocide has helped anyone actually solve problems. It seems what goes around, comes around.
Perhaps a more reasoned solution is in order, like just going after anyone who would commit murder to further their ends. Note that killing terrorists is not murder, but killing noncombatants is.
Imal
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These Islamic demons sure love their faces of death snuff films. So does the Devil.