The LP is pro-choice.
Please note I did not say they were pro-abortion.
They are anti-Roe V Wade and anti-tax payer funding for things like embrionic stems cells and abortion clinics. Other than that, the LP's stance is that it is rightly a State's issue. There is an Amendment process. If you want it to be a Federal issue, follow the process.
All of the above is consistent with libertarian ideology.