This is one issue in which I am in disagreement with Dr. Paul. I support abortion rights. I would guess that libertarians are split about 50/50 on abortion, and it probably has something to do with some of us coming from an atheist background (or being former democrats), and some of us coming from a religious background (or being former neocons). I do not have a problem with voting for and supporting pro-life candidates so long as they're good in everything else, but I am strong in my convictions. As far as moral arguments for abortion go, I far prefer Ayn Rand's:
"The question of abortion involves much more than the termination of a pregnancy: it is a question of the entire life of the parents. As I have said before, parenthood is an enormous responsibility; it is an impossible responsibility for young people who are ambitious and struggling, but poor; particularly if they are intelligent and conscientious enough not to abandon their child on a doorstep nor to surrender it to adoption. For such young people, pregnancy is a death sentence: parenthood would force them to give up their future, and condemn them to a life of hopeless drudgery, of slavery to a child’s physical and financial needs. The situation of an unwed mother, abandoned by her lover, is even worse."
"An embryo has no rights. Rights do not pertain to a potential, only to an actual being. A child cannot acquire any rights until it is born. The living take precedence over the not-yet-living (or the unborn).
Abortion is a moral right—which should be left to the sole discretion of the woman involved; morally, nothing other than her wish in the matter is to be considered. Who can conceivably have the right to dictate to her what disposition she is to make of the functions of her own body?"