This is factually incorrect.
Muslim league was formed in 1907 i think. And Hindu Mahasabha was formed in 1916. Rss was formed much later when a part of Hindu mahasabha split with a more militant hinduism as its agenda.Even then Hindu mahasabha didnt hold the conscious of all Hindus. Congress was strong and had a very secular outlook. Muslim league on the other hand became a more popular among the muslim masses and managed to instill the fear in them that Hindus are going to take over the country.
Even if your assumptions were true then India should have been a Hindu state the day it was born. It clearly proves that Hindu Mahasabha or the RSS didnt have the backing of the normal Hindus. Jan Sangh started with just 3 Mps if you remember.