I wonder if these groups that advocate "Separation between Church and State" is a lie perpetuated by an erroneous US Supreme Court decision in 1963 [Engel v. Vitale]. According to the 1st Amendment it is illegal for the government to "abridge", or "prohibit the free exercise thereof" the freedom of religion, which is; the first guaranteed freedom mentioned in the U.S. Bill of Rights [1st Amendment].
We should keep in mind that our form of government (Republic) is made up of "three" branches. And they are, legislative (House and Senate), executive (President and Vice President) and the judicial (US Supreme Court and the lower courts). All, of which; have their own distinct powers and assigned duties. None of them have the right, implied or otherwise to have more power over the other. Our Founding Fathers put in place a system of checks and balances so neither can commit ethical breaches over by doing things that weren't given by them since the creation and birth of this nation.
Our nation and it's laws were created and drawn from the Holy Bible. Our basic foundation of government comes from a morally sound Christian prospective. If you have ever read the US Constitution there are several references of and to God. Our Founders may have not attended the same church, but they agreed that "Freedom of Religion" was an essential freedom for all men. They also, believed in personal responcibility coupled with personal accountibility. There was also no such thing as "entitlement mentality" , nor "moral relativism" with them. That to them; those things were a foreign concept.