>"Separation" of Church & State sought to eliminate the obligatory tax to an entity that guides the soul not governs the physical.
And the Founding Fathers intended that each would be able to worship God (or not how you want them to, or not at all) as they saw fit. There were multiple denominations seeking "God" in the new world by the time the Bill of Rights was drafted. Some have even theorized that the original text said "denomination" (implying that all believed in God, regardless) but the explicit wording preventing the Gov't from establishing one means that no belief should be enforced by law, nor should the law be allowed to tell someone how they should practice.