Another thing that I need to ask: would this hypothetical Timurid state have to expand into the Arabian Peninsula at some point? Would the Timurid Dynasty be the dominant dynasty in Persia instead of the Safavids?
Well, a lasting Timurid dynasty in Iran probably butterflies the Safavids in any case...not sure why they would have to expand into the Arabian peninsula, although if they hold Iran there's certainly a strong incentive to push into Iraq. One wonders how they would get along with the Ottomans?
Bruce