The case for abortion is easy, you just need to convince someone that an embryo is a baby not a clump of cells. The case for other social conservative issues is a bit more difficult, but you must show how conservative values protect its citizens. Things like teaching children abstinence can fall into this category.
That's easy enough if an individual is required to take the entire responsibility for his/her actions (in the case of sexually activity - pregnancy, STD's, AIDS) rather than being able to pawn off most of it to other taxpayers.