You don’t need to kill every muslim... Just like the Allies did not need to kill every member of the Nazi party. You do however have to destroy it. To do that you destroy the fundamentalists... they are not hard to identify. Will others be killed as well? Of course, war always kills more than the combatants.
The Nazi’s of today are a joke and have nothing to do with the Nazi party, they simply cling to the name. The NAZI party was the national socialist party of Germany, that’s what it was. It is not the skin head buffoons who run around screaming white power. There is no functional Nazi Party left on the planet, it was destroyed.
But new fundamentalists will arise. How will you kill them all?
And how are they easy to identify. People here are saying there are no moderate Muslims, no moderate Islam. If that is true you have to kill every single one in order to “eradicate” it.