You cannot defeat an ideology with violence. You cannot defeat them by "exterminating them" all. It doesn't work. It never has and it never will.
Lets take a look at a different time period in the world when there was a man named Paul who used to be called Saul. He was responsible for spreading Christianity throughout the Roman empire. Paul wrote that "we are to" obey rulers and institutions put in place by God, this wasn't a time of peace. This was during a time when the Roman Emperor named Nero was doing everything he could to wipe Christians from the face of the earth. Nero was using them as torches to light the paths, courtyards and other places under his control.
If there ever was a time when a religious group was going to be wiped from the face of the earth it would have been that time right there. Low numbers, an all powerful and oppressive government that ruled with a force so violent there has never been anything like it since.
So no, bombing them to the stone age, killing them all etc will NOT rid the world of these murderers. The solution is not at the end of a gun or bomb. The problem is in the heart, fix the heart and you fix the problem.
Eloquently stated