Bush was actually right when he said that democracy would change the Muslim world, he just muffed the details a bit.
"For too long, many nations, including my own, tolerated, even excused, oppression in the Middle East in the name of stability. Oppression became common, but stability never arrived. We must take a different approach. We must help the reformers of the Middle East as they work for freedom, and strive to build a community of peaceful, democratic nations." George W. Bush, Speech to UN General Assembly, September 21, 2004