Men are keepers of the Jewish religion.  That's why men are rabbis.

Women are keepers of the Jewish reality.  That's why women are mothers.

Men need ritual to feel connected to G-d because men need to be active.

Women do not need a program or a schedule for their Jewishness because women can just "be."

Shuls were invented as a place for men to feel connected to G-d, otherwise they would hardly ever feel connected.

This takes care of the problem of figuring out how to include Jewish women in rituals like the synagogue service.  Women don't need to be more participatory in the Jewish religion.  It's men that need to feel more at home in the Jewish reality.

Do want to know the greatest proof that it is the Jewish reality -- not the Jewish religion -- that preserves us through eternity?

Anybody who was ever attracted to make a radical change and become more observant has done so not because of an experience they had in shul, but because of an experience they had in a Jewish home.