founded on Christian beliefs
That's a common misnomer or misconception. One of the main points of the formation of the government - with a "wall of separation between church and state" was to exclude religion from government, and vice versa, specifically Christianity. Theocracies don't work, as we can see from a casual glance at the news.
Having been burned, and realizing that religion is a tool to control people, most of the Founders - many of them anti-religious and certainly not Christian - went decidedly in the other direction.
This is why we have no mention of religion in the documents that form our government. Look as hard as you like, take your time - it isn't there.
There are few after the fact justifications of why one committee member voted - especially in trying to sell this new government to the Confederacy. Ironically, using religion to convince people of an essentially anti-religious idea, which I find fascinating.
I say "misnomer" because 95% of the same beliefs are found in every religion and are copied from the religion before that, and before those, outside sources. Common knowledge that justice / righteousness is good, and here are some rules for that, for instance. Found in every philosophy, old and new.