Today: Genghis Khan - Batu Khan - Timur
Here is how 15-18th century books saw these three
with wife here
Timur - Tamerlane
Well, I could not find any 17th/18th century Batu Khan images, but apparently in Turkey we have a his bust, and Batu Khan looks nothing like what we would expect.
The Kings of Tartary
Genealogy Of The Former Tartar Emperors
Family tree of the descendants of Ghengis Khan, with a map showing the Tartar Empire.
Tartary had to be multi-religious multi-cultural is its vastness during various moments in time. For example in 1652 Tartary appears to have control over the North America.
And to add some credibility (or to take away some) to the story, below you can find an excerpt from the CIA document declassified in 1998, and created in 1957.