Not everybody see their lives as a big genetic experiment where their goal is to out-breed the opponents.

This isn't about out-breeding opponents. This is about the consequences of dysgenic selection against intelligence.

^ See this? This is one of the reasons this forum is 90% male.

As Yvain pointed out in his post on a similar topic, far more women than men go to church across all denominations, including ones that don't even let women in leadership positions. I recommend you update your model about what kinds of things drive off women.