Quite the opposite is happening in the long term throughout the Arab World and neighboring regions. As we speak, Iran (speaks Farsi) is presently at fertility rates below the rate of replenishment.
http://www.washingtonpost.com/opinions/david-ignatius-a-demo...
See figure 6 here:
http://www.aei.org/files/2012/03/21/-fertility-decline-in-th...