I think it's fine to want the man to be the leader in your relationship but if you're truly against women's rights then you're a naive fool.

The patriarchy is not just baking cakes and taking care of your man. It's a murderous ideology that makes society slut shame you if you get shot by a man you rejected because "you must have seduced him". This is not an exaggeration, it literally happened to my MIL when she was young. She was shot by a man and she was slut shamed for it by many people including her future in-laws who called her a "seductress".

The patriarchy is the idea that rape is only a crime against the man who owns the woman and if the woman doesn't literally kill herself, it means that she probably enjoyed it anyway. The story of Lucretia is so powerful because she committed suicide. If she hadn't died, the Romans would have probably seen her as a slut who "provoked" the man. People really underestimate how normal male violence is within the patriarchy.

And yes I do believe that patriarchy is essentially civilization but with modern technology this is not necessarily the case anymore.