I would say look to Singapore, Japan, Taiwan, S. Korea and even China. Each of these is clearly non-Western and proud to be so. They take what works and adapt it to their culture.
The big hangup that Muslims have is the recognition that women are not two legged livestock, but people. Half the smarts of the Muslim world is denied participation in the advancement of the society, which explains why it does not advance.
In 1950, Taiwan and Egypt had the same domestic income per family. Now Taiwan is by any standards a first world country, and has lost very little of its non-Western character. Egypt continues to be ruled by military thugs and the Muslim Brotherhood, the largest political movement, is also a backward-thinking bunch of thugs. Egyptians can be as talented as people from any other place... but they have to leave Egypt to demonstrate this.
