Pro-Life libertarian

I identify as a staunch libertarian. I believe the government ought to keep its hands off of (nearly) everything and that individual rights are borderline sacred. However, when people hear my pro-life stance Im more often than not labelled as a Republican, or a Christian Conservative, but I believe my pro-life stance is deeply rooted in my libertarianism and is not a religious stance nor is it a stance that infringes on individual liberty. I believe the fetus has a natural right to life, and to abort is to infringe on that right. People bring up bodily autonomy but I see that as a far lesser infringement on liberty than stripping a fetus of their right to life, lesser of two evils so to speak. The fetus didn’t ask to be in that situation but in >99% of cases the woman did (or knew the natural risks of sex and accepted them). Given that one of the governments only jobs to protect the rights of the individual I see abortion legislation as fully within the realm of libertarianism, as it protects the natural rights of the fetus. What do you guys think? Is this a common stance for libertarians?