What do you think that the Radical Religious Right (RRR) have been trying to do since 1980? Of course the US Constitution keeps getting in their way, but they keep trying to get around it.
And haven't you ever heard of the Christian Reconstructionists (CR) whose goal is to replace the Constitution with an Old Testament theocracy. They were the political mentors of the RRR, even though the two groups have irreconcilable theological differences (pre-millennialism vs post-millennialism). Also, their approaches are different. The CRs have a long-term, multi-generational plan in which we trade in the Constitution for their theocracy because we choose to. Thus the CRs' main approach is through education and having kids raised on their theology, which is why a lot of their attention is directed at home schooling curricula. After all, their theology is that they need to establish the 1000 years of Christian rule before the Christ's Second Coming. They can be patient and take their time.
OTOH, the RRR believes that the 1000 years of Christian rule will come
after the Christ returns, so they don't have any time to waste. They want to seize political power and they want to seize it
now. That is why they seek to seize control of the government and use the force of law to force Christian rule on everyone.