What do you mean by women’s rights? The difference in support for abortion by sex is trivial. https://www.pewresearch.org/religion/fact-sheet/public-opini...
How about a woman's right to equal employment opportunity? 67% of women are in favour of DEI, while most men (57%) take the opposing view. https://www.nbcnews.com/politics/politics-news/poll-american...
The primary political parties are definitely catering to those sides.