Our authority does not rest with any god, especially one who did not believe in liberty, freedom, dissent, democracy or any of the values the Constitution and the founders guaranteed to us. To not believe in the God of the Christian Bible or working on the sabbath meant execution.
These aren’t the values of the Constitution. Yes, historical revisionists who wish for our great nation to be more like a theocracy will try to confuse the two, but it is clear the Bible is not a foundation for our Constitution, it is the exact opposite.
To be fair, most of the founders did believe in a deity. But those who did did not take the values of the Bible and transfer them to the Constitution. In the time of our nation’s founding, the Enlightenment was a century old, and all the founders were children of it. John Locke had a thousand times more influence on them than Matthew or Mark. Indeed, some of the more influential thinkers of the nation’s founding such as Madison, Jefferson and Paine didn’t even believe in the doctrine of the Bible. So, we aren’t based on the Bible, at all.