Many people mistakenly believe that the patriarchal system is about women being downtrodden and subjected to men 100% of the time. This is not the case at all, at least not in Christian countries.
The patriarchy is based on the concept of the separation of spheres. Women are excluded from the public sphere but are compensated for that by having control over the private sphere. Men, in the meanwhile, are disempowered in the private sphere but reign in the public sphere.
Since it’s normal for people to need both spheres to be developed in their lives, patriarchal societies offered opportunities for men and women to pretend they had access to both spheres. For instance, all of those all-male clubs for aristocratic men in European countries created an atmosphere of a home environment where men could have a sort of a private sphere of their own.
As a result, we can conclude that the goal of feminism is not only to restore the public sphere to women for their free use of it but also to restore the private sphere to men. Pushing men out of the private sphere to make oneself feel better or more competent is as anti-feminist as when men keep women out of the workplace.