It's a common misconception that Islam came to India through Khwaja Moinuddin Chisti.
In reality, it came during the time of Prophet Mohammed [peace be upon him], when one of his companions Malik bin Dinar [ra] along with others traveled to India for trade, the first Hindu King who embraced Islam was Cheraman Perumal. Later in 16th Hijri, during the caliphate of Omar (ra), a caravan of Sahaba visited India.
In 93 Hijri, Mohammed bin Qassim (rh) visited India along with his troops when he got the information of Muslim captives in India.
Khwaja Moinuddin Chisti was an Iranian, he was born in Sistan-Iran. He began his journey from Iran, settled in Lahore for a short duration and eventually settled in Ajmer - India. He came in around 600 Hijri to Indian subcontinent. He carried all the Majoosi, Shia and Sufi beliefs.