Let us grant your point for the sake of argument. Which raises the fundamental question: Are all Muslims therefore "the enemy?"
If not all Muslims are "the enemy," then you really have no position at all.
And if all Muslims are "the enemy", what do you propose be done about all of those "enemies?"
We don't need to kill all of them any more than we needed to kill every Nazi. We de-Nazified Germany and we can de-islamize the 'muslim' world.
So I propose a modified version of The Coulter Option. First we destroy Mecca utterly. Make it so no stone stands upon another. Then we trod the ruins under our infidel boots. That will remove the psychological underpinnings of their ideology. After all the koran says that Mecca can't be destroyed. Put the lie to that and their house of cards falls.
Then we destroy every single islamofascist government on the planet through a sustained campaign. Start with Pakistan, Syria, then Iran, then Saudi Arabia. Flatten the 'pali' territories on general principle and drive those wretched scum back into the countries they belong in.
Then we destroy their militaries and wipe out their leaders to a man.
Every single 'imam' who's ever preached violence in their mosques anywhere in the world gets a war crimes trial followed by a speedy hanging.
Wahabbi mosques are razed to the ground wherever they're located and the ground sown with salt.
That'll do for a start. In 20 years or so we'll have a pretty good knock on the problem.
L