There's no real difference. It's the same bunk as "Love the sinner, hate the sin" used in regards to LGBTQ+ people.

You have a problem with feminist ideology because your religion requires women to be dominated by men. You have a problem because you don't believe in equality.

You want "good guy" credit for cleaning up some of the mess of dominance hierarchywithout having to give up it's perks or consider the ways you contribute to it.