No, it isn't consistent. I won't go into abortion per se but the libertarian stance would be that the government has no right to interfere with the woman's right to have one as guaranteed by the Supreme Court.
By the same token, the State interfering with activities such as suicide and willful euthanasia (I'm being purely objective on the subjects here) is also anathema to libertarianism.
In addition, I find Paul's support for tax money diverted to faith-based initiatives as well as some of his other statements vis-a-vis religion to be seriously at odds with a true libertarian credo. I don't fault him for his beliefs; just the application.
I won't talk anyone out of their own opinions, though. Just expressing mine.