Too bad.
The constitution to which you defer acknowledges God and our rights which are inherent. The constitution acknowledges God as the supreme law; that men have inalienable rights granted by God for the purpose of our experience on earth and that we, the people, loan that power to our repulican government. Our government will crumble when the people cease to be virtuous and our government evolves from republican to democratic. Hence, an atheistic government would be inclined toward communism, not republicanism.
The Founding Fathers never intended to keep the worship of God out of government; they only sought to keep government out of the worship of God. Still, that is okay for the most fanciful among us who deny God. Ironically, it is in the atmosphere of religious freedom in which atheists are free to cling to their fantasies and ignore the evidence that God exists, if they choose. Unfortunately, while many atheists profess to be students of fact, they ignore the factual basis for the constitution in which they seek harbor from "God."
I can't find that in my copy of the Constitution. Could you cite the Article and Section number to which you refer?