Perhaps we could retry the idea, "Constitutional Republic".
1) It simply is not Biblical for Christians to segregate themselves from the rest of the world. ("Go ye therefore, and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost. Matt 28:19). Christians are not to be "of the world", but certainly we are sent to be "in the world", to preach Christ.
2) What's missing in the U.S. is not Christian government, but Christians IN government, ensuring that the original "contract" (i.e. the U.S. Constitution) between the people and Government is enforced.
The Constitution has been used for toilet paper for about 100 years now. The true solution is to turn back that tide, i.e. to put honest men and women into government, to show Christ in our actions, providing the Holy Spirit the opportunity to change this nation through our example. Christian judges would not have broken their oath to uphold the Constitution, as evil men in black robes have for the past 100 years.
I swear the status quo is horrid, but I believe the struggle of American Christians is a trial permitted by the Lord. Certainly, our struggle is nothing compared to many of our brothers and sisters face daily throughout the world, i.e. even torture and death.
I believe we can bear up, and do the Lord's will without succeeding from the Union, and creating a "Christian" nation. Steady on, my Christian friends.
Just a thought...but how about 50 states receeding?