"The 1920s were the last decade in American history during which one could be genuinely optimistic about politics. Since 1920, the vast increase in welfare beneficiaries and the extension of the franchise to women — two constituencies that are notoriously tough for libertarians — have rendered the notion of “capitalist democracy” into an oxymoron."
- http://www.cato-unbound.org/2009/04/13/peter-thiel/education...
So basically women have ruined any chance of democracy achieving the political goals he wants. I'm sure he would disagree that this is anti-women, but it's not hard to read it that way.
He sort of addresses this criticism at the bottom of the article, but not really:
"It would be absurd to suggest that women’s votes will be taken away or that this would solve the political problems that vex us. While I don’t think any class of people should be disenfranchised, I have little hope that voting will make things better."