Interpretatio is way simpler than monotheist theology
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There should be another panel for the tolerant mongol pagan. Who is just excited to find a new god to add to their collection of good luck charms, kinda like beni from the mummy.
You can all keep your gods as long as you pray to the Khan's good health. Can't be too careful, in case you picked the wrong god.
As was noted about Sartaq Khan - Mongol first, Christian second.