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Nihonjin1051 I am sure you know that Mughals (Persian word for Mongols) were not the first Central Asians in South Asia:
Delhi Sultanate - Wikipedia, the free encyclopedia
These early rulers were mostly Turkic Central Asians, but it is suspected that there were many Mongols or part Mongols among them as well:
Turks, Mongols and a Persian Secretarial Class in Early Delhi Sultanate
Nomad vs Sedentary and spread of Islam
While Bengal Sultanate was mostly ruled by Turkic Central Asians, it was Mughal conquest of Bangalah and subsequent Agrarian expansion that resulted in mass conversion to Islam and thus a Muslim majority area, which is why there is today a country called Bangladesh:
Rise of Islam in Bengal, role of migration
"Birth of Muhammad (SAWS) and Chinggis Khaan unleashed forces that shaped much of the world and also in a remote corner of South Asia, far away from Mecca and Mongolia, resulted in events that eventually led to the creation of Bangladesh...
Islam came to Bengal in 3 waves. First was through the coastal areas by Arab maritime traders. 2nd was the Turkic invasions that created Delhi Sultanate and Bengal Sultanate soon after. Turkic Bengal Sultanate spread Muslim rule to distant eastern hinterland of Bengal, but Muslim settlements remained limited to urban garrison towns and mint towns. The 3rd final push came after Mughal conquest of Bengal, that transformed the rural “Bhati” areas of eastern Bengal, with a mega project of clear cutting of forested land and creating mostly Muslim communities geared towards Wet Rice Cultivation. This way Bengal could become the granary and cash generator of Mughal empire, that would then finance imperial expansion in other parts of South Asia."
Some Turkic faces:
Yakutia, Siberia:
Kyrgyz, Central Asia:
Kazakh, Central Asia: