Not really. The social conservative Republicans are at war with the political conservative Republicans resulting in 3 parties. The two sides are barely on speaking terms. If a political conservative wins a nomination then the social conservatives stay home. If the social conservative wins the nomination the political conservatives stay home or vote for the Democrat. The Democrats that are winning are not from the raving left wing of the party so they're attracting a lot of independents and some Republicans. The Democrats have figured out how to win here. If they can drag their party nationally back towards the middle then then can win elsewhere, too.
Divide-and-conquer
Social Conservative Republicans are Conservatives. What you call Politically "conservative" Republicans are for the most part people in love with the evil of abortion and often with the evil of homosexuality. They are no more conservative in the current sense than a George McGovern, a Slick Willy, a Hillary, an AlGore, a John Kerry. Budget balancing by raising taxes for "the arts" and for gummint education is NOT conservatism. Nancy Landon Kassebaum Baker is NOT a conservative and neither are what you erroneously describe as "politically conservative Republicans" (i.e. the pro-abort buffalo wing of the GOP) any kind of conservative. Instead they are anachronisms and the sooner the GOP is rid of the Planned Barrenhood types the better.