Logical consistency simply isn't part of the movement anymore, and I think that's due to the Evangelical Cultural Conservatism. There's a lot of thought-stopping going on; painfully obvious contradictions that nonetheless seem to be sincere. And of course they really can't say that they WANT their religion to be in charge of the government, making the laws - but Dominion Theology is a real thing and one of the most important figures in the movement is Ralph Reed.
“Mark my word, if and when these preachers get control of the [Republican] party, and they're sure trying to do so, it's going to be a terrible damn problem. Frankly, these people frighten me. Politics and governing demand compromise. But these Christians believe they are acting in the name of God, so they can't and won't compromise. I know, I've tried to deal with them.” ― Barry M. Goldwater