I think if that were the case it would have already happened. Take the example of abortion. A subject that the religious right is passionate about and opposes. However, they always try to do away with it by legislation by states and stacking the courts to get it banned or restricted. They won't focus on the bigger picture of eliminating or even reducing the need for it. By supporting things like freely available contraception, Planned Parenthood (for healthcare..it's amazing how many of them use this as just a talking point), sex education in schools without screaming about parental rights, services for single mothers or underadvantaged women, and public education for children. They'll scream bloody murder about a fetus but once it drops out of the mother they couldn't give a shit about the kid. They'll vote to take everything away from the kid..even if there's a good chance the kid will end up out on the street.
But I don't believe the religious right is going to do the Republican party in this time. I truly believe it will be the Trump supporting wing of nutjobs. I've never seen fanaticism like this in my lifetime.