You are misreading his comments about women and democracy. He was simply saying that certain demographics aren't receptive to libertarians - he was not saying that women shouldn't have the right to vote and that democracy is bad. I daresay it's impossible to read his full writing in question and come to the conclusion one might get from simply reading an excerpt of two sentences that the Politico article wants you to see.

" 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."

"I believe that politics is way too intense. That’s why I’m a libertarian. Politics gets people angry, destroys relationships, and polarizes peoples’ vision: the world is us versus them; good people versus the other."