Your map there doesn't even take you to the Indus, and the most populous Muslim nations in the world are east of the Indus. Moreover, the earliest Christian communities were overwhelmingly of the Semitic and Hamitic descent (if you want to shoehorn it into your classification system.) Like, so what? Christ breaks down all the walls of division (Eph. 2:14)
If you want to retain your intricate racial beliefs, which purport to link racial inheritance to moral temperament and national destiny, then I advise you not to look into actual population genetics, because your whole scheme will fall apart.
So, back to earlier points:
- Ishmael was not a Muslim.
- And most Muslims do not spring from Ishmael's loins.
Sorry about that.