The Judeo-Christian concepts Thomas Jefferson used as the core of the Declaration of Independence derive from Genesis and Exodus of the Bible, where liberty and equality inescapably freed the Jewish people from their Egyptian bondage, just as the Revolutionary War and the act that led up to it frees us from the UK to become what we did.
Just as the Jews regained their freedom through the liberating authority of God, our founding fathers noticed that freedom from Britain could only come through that same authority; that it was by the grace of God we not only survived the war but did, in fact, gain our freedom, just as the Jews accomplished when they turned to God, not the Golden Calf.
When Christians claim the US was founded on Christian traditions, they are forgetting half the equation, the Judeo- part.
Thomas Jefferson was, at best, a deist.
But, according to MORMONism, there was no such thing as 'christianity' to base ANYTHING on; as it was CORRUPTED long before America was even discovered.