Um...Kublai Khan was not a Muslim. The Mongols were not Muslim!
Your point is generally accurate. However, their history is deeply intertwined with the Moslems
http://en.wikipedia.org/wiki/Islam_in_Mongolia
Quite true, Tamar. Not at that time, anyhow.
The turning point seems to be around 1294, when Ghazan became the first Muslim Mongol heritage to rule the Il-Khanate, and all rulers of Persia since him have been Muslim. Ghazan was Sunni, but tolerant of Shi'ites. But not of Buddhists or Christians: Ghazan destroyed and looted Christian churches, and converted all Buddhist temples to mosques. Ghazan replaced traditional Mongol law with the Sharia (Islamic code of law), and adopted Islamic military codes for the Mongol army. At Ghazan's death in 1304, virtually all Mongol elements in the Il-Khanate had been absorbed into Islamic culture.
You wrote:
“Um...Kublai Khan was not a Muslim. The Mongols were not Muslim!”
You’re right. It was only by the 14th century that three of the four Mongol khanates had become Muslim.
Many of them did become Muslim over time, especially in the westernmost khanate of the Golden Horde.