Rand did support women's right to vote, and she said she'd vote for a woman running for Congress or Senate, just not for President.
I would almost be for the opposite. Let women run for any office but don’t let them vote.
There are many good, rational women, but definitely the minority. So whereas one can find a good woman leader, the mass of women, because of their emotional nature, would more often than not pick as leader one like them, weak and emotional.
Whereas, I think men would gladly vote for a Margaret Thatcher.