The Taj Mahal marks the apex of the Mughal Empire; it symbolises stability, power and confidence. Many also came from other parts of the Islamic world - calligraphers from Shiraz, finial makers from Samrkand, and stone and flower cutters from Bukhara.
Akbar believed that all religions should be tolerated, and that a ruler's duty was to treat all believers equally, whatever their belief. The empire had already been in decline for centuries, struggling to maintain a bloated bureaucracy or a centralized administrative structure after various attempts at reform.
The Northern Yuan are still in Mongolia. Only the limited campaign radius of the Ottoman army prevented it from holding the city and ending the Safavid rule. Hodgson saw gunpowder weapons as the key to the "military patronage states of the Later Middle Period" which replaced the unstable, geographically limited confederations of Turkic clans that prevailed in post-Mongol times.
Now a few things have changed. France and the Habsburgs divided those territories among themselves, resulting in an arms standoff.