What if Dravida Nadu broke off as a communist state? It's proponents wanted societal unity and E.V. Ramasani was an atheist. I'm not sure whether the Soviets would have supported it since they were friendly with India, but maybe the Chinese do and it turns into a proxy conflict? Or the Soviets support Dravida Nadu and this pushes India into the Western camp? That would complicate the situation with Pakistan (if it was made). A communist Dravidia could be very useful for the Comintern in dminating Eurasia. I wouldn't be suprised if India got controlled by the Soviets too (a permanent partition, separating India into Dravidia Nadu and the People's Aryan Republic (although it probably wouldn't be called that due to Nazi connotations)).
Well the Communists (albeit independently-minded) are strong in Kerala, but I think that's it.