No, their party does not misrepresent their libertarianism, it represents the principles, it does not misrepresent them.
The libertarian position on abortion is to do what ever you want, any time you want, 9 months or whatever, it is whatever the woman wants, zero restrictions or restraints.
It is liberalism that promotes abortion, conservatism that promotes life.
It is statism that enforces the law, and libertarianism that advances self governance.
Yes, a liberal will use libertarianism as justification for the lawless killing of nascent life, but a liberal will also use Roe v Wade as justification for the lawful killing of nascent life. It is the liberalism that’s advancing the killing, not libertarianism. You know this.