Libertarians differ over abortion; I fall into the camp that supports women's abortion rights (I refuse to use the ridiculous weasel terms "pro choice" and "pro life).
But there are libertarians who hold that abortion is murder, and that therefore its prevention is one of the few legitimate usages of state power, and we manage to co-exist.
However, there is NOTHING remotely libertarian about what Texas passed yesterday. Instead, we have the Texas GOP using the power of the state to coerce women into specific decisions. You want to make abortion illegal--fine, go for it. But for the State to tell women which clinics they can patronize based on the thin fantasy that they are insuring better quality medical care is simple (and, yes, I'm going there) another facet of the conservative war on women.
My position is pretty simple: women have the right to choose their own medical care and procedures, period. Whether it is abortion, home birth, breast implants, life-threatening or cosmetic, if women are not free to make their own medical decisions without state intervention, they are not free.
(That said, I am strongly in favor gathering all the information you can about potential procedures and practitioners, the risks, etc. But while I advise that, it's your body and your level of acceptable risk that counts, not mine.)
Somehow I do not see Texas women letting their menfolk off the hook for this one, and I hope the Libertarian Party of Texas, which contains a lot of my friends and some very savvy political opportunists.