I know some conservative women who do not like Palin. Deep down, it is because Palin is good-looking.
When I argue with them, I tell them that that is why I cannot vote for Hillary Clinton, because she is not a hottie. That usually gets them thinking about their own position based on looks.
Just tell them they don’t like strong women. That’s what I told my three lib sisters when they ranted about how much they hated Ann Coulter. Palin is the new object of their hatred, although they still go off on Coulter.