I caught Fred Barnes remarks on Brit's show the other day. IIRC, Barnes said that more then half of the GOP were social conservatives and 35%-40% of those social conservatives were religious conservatives.
Btw, being an independent is like being an unaffiliated voter, along political party lines. Being a social conservative is more along the lines of ones political ideology.
About 47% of voters in the last election identified themsleves as independent.
Let's look at your numbers based on what you say you heard. 32% of voters are republican. over half - let's say 17% are social conservatives. 47% are independents. It is still the independents that are needed to win.