There was even an original Star Trek episode where the founding documents were “worshipped.”
The Constitution does incorporate Biblical principles such as the requirement to have an honest and impartial legal system.
(Of course the Constitution is failing to maintain that principle, along with everything else).
But the Constitution is based on flawed Enlightenment premises, and was bound for failure.
An enduring nation can only be built by a unified God-fearing population.
The Constitution is a failed secular substitute for that.