It was Congress rule of 1935-1939 which saw wide scale persecution of Muslims. This made Muslims to realise that they should support Muslim League and strive for a separate homeland. The rest is History.
Are you on crack or something? There was no Congress Rule in 1935-39.
Muslim league was able to carve out Pakistan because there were regions in erstwhile India where Muslims were in majority. Today in India hardly any parliamentary seat outside Kashmir has Muslim majority(Assuming that all Muslims would vote for a Muslim party, which I doubt). All it would do is polarize Hindu and Muslim votes and Indian Muslims will be left with no political say and leverage whatsoever.
Thankfully Indian Muslims are smarter than that and the nincompoop OP and they would rather be part of mainstream parties and make their vote matter. So please save your usless ideas for your own little country, maybe try floating Shia, Sunni parties in your country and see how things pan out for you guys.