I don’t know; during the Bush Jr. Era, I would have agreed with you, but I think the powers that be have figured out that religion is more useful for creating wedge issues than actually governing.

If the goal is simply controlling the population, then oligarch-controlled media and social media seems to be perfectly adequate with just a little bit of religion to give the conservatives bad-faith plausible deniability when it comes to the racism, misogyny, and homophobia (both the politicians and the voters).