Religiosity not for the sake of heaven

I read Shalom Tzadik’s book “A Call for the Revival of Religious Philosophy” and I have a number of questions that I would like to ask you.
 

1. The book essentially proposes a “religious” model designed to grant people who do not believe the social benefits (in the author’s opinion) of religious society – rejection and suppression of LGBT people, marriage at a young age, sexual closure, and so on. Can a person who does not believe but participates in prayers in order to achieve such a social-educational result for himself and his children count for the minyan? Is there value in observing his commandments and can one be exempt from them?
2. Do you think the model presented is effective in practice? Is it possible to educate children about a kind of “white lie”?
3. In general, it seems to me that this model secretly serves mainly one type of person – men, perhaps weaker and less “attractive”, who prefer the religious model of marriage at a young age and complete sexual fidelity over the secular dating market where they have no chance of success. Or, alternatively, people (actually, men) who are very homophobic who use religion as a tool to prevent sexual liberation. Does this seem like a correct diagnosis to you?
4. Additionally, do you see the parallel between it and the model of “Cultural Christians” – described in an American magazine article : they embrace a secular vision of Christian values—tradition, conventional families, and small government—all without the spiritual commitment or conviction… Cultural Christianity’s true believers tend to be drawn to the idea that the faith exists strictly as a rejection of liberal cultural hegemony;