And yes, "socially conservatives" males support feminism for "daddy's little girl" all the time.
Whether it's female careerism and taking full advantage of affirmative action for women, whether it's supporting domestic violence and divorce laws, etc, the socons want society to give their "little girls" advantages in everything, they want the police to be at their beck and call for things that never would have justified police action in the past.
And yes, some will support contraception and even abortion.
Even a traditional priest will ask a girl why she didn't use contraception if she ends up pregnant.
And while we can't know what many of these people would do about abortion, I no longer have the illusions I used to have about it being out of the question for many of these people.
The vast majority of "social conservatives" are fully on board with feminism, and I would say a majority live in houses dominated by women.