An interesting take on things but a bit simplified I think. . .
If you take this at face value than yes, we will never have peace with the Islamic world. But we forget that the Christians went through a period of the same kind of turmoil and this leads to the crusades.
I think in time they will come to realize that the book may be the word of God but it was still written by a man and can have errors. Eventually they will see that they need to follow God's word and live in peace with the rest of the world.
Many have already seen this but there is much more to do. Their leaders must push to end the fighting and terrorism. I am not sure they are ready to do that yet. Shara law will never work and they need to learn that. Based on strict interpretation of the Quran they can not be American and Muslim - Shara law is against much of what we hold dear. I think they can make the change as the Christians did. It will take time and until then we must be prepared to fight.
They need to know that the choice is to move into the modern world and live in peace or to die fighting us. Many will chose to die as we have seen. This does not mean we should give in! It is their choice to fight and die, we need to be ready for them and to protect ourselves. And pray that some day they will wake up to reason. . . . .