Adn what will happen is that the GOP will decide to not rely on them for anything - they only go there when interest coincide, and under no other circumstance.
I am frankly of the belief that, if by some miracle the Democrats declared themselves to be prolife, and Hillary! came out so, at LEAST half of the "prolifers" would immediately abandon the GOP. After all, once you've got your heart's political desire, why not then go to the party offering the most goodies for "free"? Many of those same people actually LIKE government control of individuals, anyway.