It's a fun notion, but it doesn't account for historical realities. Nor does it acknowledge the minor point that for a substantial period of time the Muslim world was a much nicer place to be than Christendom.
That's the bit I don't get. We recently learned about that in history, and all I could think was, what the hell happened?
They got completely mowed over several times by several different nations including the Mongol Empire, Christendom (the Holy Crusades), The Ottoman Empire (though the Ottoman's were Islamic, they still attacked other Islamic countries), European Empire building (ie. namely the British Empire who were limited in expansion by the Ottoman Empire). Then to "Modern" history with the USSR, the UN with Israel, and now "NATO".
Basically, they kept getting invaded, mostly because the area is rather resource rich, and this constant threat of invasion causes the people (at least the people that end up making policy) to fall back to religious fundamentalism (see, Aztec empire when the Spanish started to colonize central America; USA after the 9/11 attack).
Why is the area mostly the same today, that is an entirely different story. There are still wars being fought there (never mind why).
It takes time for a culture to change, think about the USA and both world wars. For a refresher, the USA was pursuing isolationist policy at the start of both wars. What finally convinced the USA to enter both wars was hostile action. In WW1's case, the resumption by Germany of attacking civilian shipping with Uboats, and the
Zimermann Telegram. In WW2's case it was again the damage being caused to US shipping by German Uboats, and of course, the Pearl Harbor attack. The protectionist policies where being pursued because that was the popular opinion (
Woodrow Wilson was re-elected on a platform of isolationism, and
FDR had to work hard to build support for the USA to enter WW2). It was only after WW2 that the US decided that they needed to be the police of the world. Transitioning from Isolationist to World Police is a dramatic change that took over 40 years.