From a philosophical perspective, libertarians generally believe the appropriate role of government is to protect life, liberty, and property. The question is, is forbidding abortion a way of protecting life, or should it be viewed as a restriction of liberty? There’s a plausible libertarian case on both sides. People who are consciously libertarian are more respectful of the other position on abortion, in my experience, than most pro-lifers and pro-choicers. I do not think there is an official position.
David Boaz, interviewed in the The Atlantic by Molly Ball.