If Muslims only came from countries in US war zones, there would be millions less of them in Europe. In reality we are now into the third generation of Pakistan emigres into the UK.
The harsh truth is that Islam was always exported at the end of a sword. Mohamed's first invasion was from Medina to Mecca where he decided a meteorite was sent by god to earth. This happened under a pagan religion which he abolished.
The list of Islamic invasions is very long. Including Palestine, Spain, France, Constantinople, the Balkans, Austria, N. Africa, etc.
Then there are the continuing power struggles between Shia, Sunni and other sects of Islam That still continue today with different factions wielding power over others. Even to the point of killing one another. If they stopped fighting amongst themselves there would be far less reason to go to war with them. If they stopped carrying a small part of that fight to the West we would have no reason to drop bombs on them. How many major Al Qaeda terrorists actions did it take before America and others hit back?
Yes Iraq was wrong and Bush and Blair should be charged with war crimes. So was Libya, so include Obama in the charges.
Compare the wars between the Crusades and Muslims.
Where in the ME is there total peace without a dictatorship government in charge?