If the FOUNDER(S) believed that then they should have incorporated those principles into the founding documents.
Here's some other things that the Founder(s) believed:
"Suppose a nation in some distant Region should take the Bible for their only law Book, and every member should regulate his conduct by the precepts there exhibited! Every member would be obliged in conscience, to temperance, frugality, and industry; to justice, kindness, and charity towards his fellow men; and to piety, love, and reverence toward Almighty God ... What a Eutopia, what a Paradise would this region be."
--Diary and Autobiography of John Adams, Vol. III, p. 9.
"God who gave us life gave us liberty. And can the liberties of a nation be thought secure when we have removed their only firm basis, a conviction in the minds of the people that these liberties are of the Gift of God? That they are not to be violated but with His wrath? Indeed, I tremble for my country when I reflect that God is just; that His justice cannot sleep forever; That a revolution of the wheel of fortune, a change of situation, is among possible events; that it may become probable by Supernatural influence! The Almighty has no attribute which can take side with us in that event."
--Thomas Jefferson--Notes on the State of Virginia, Query XVIII, p. 237.
"And as it is our duty to extend our wishes to the happiness of the great family of man, I conceive that we cannot better express ourselves than by humbly supplicating the Supreme Ruler of the world that the rod of tyrants may be broken to pieces, and the oppressed made free again; that wars may cease in all the earth, and that the confusions that are and have been among nations may be overruled by promoting and speedily bringing on that holy and happy period when the kingdom of our Lord and Saviour Jesus Christ may be everywhere established, and all people everywhere willingly bow to the sceptre of Him who is Prince of Peace."
--Samuel Adams, as Governor of Massachusetts, Proclamation of a Day of Fast, March 20, 1797.
"I have carefully examined the evidences of the Christian religion, and if I was sitting as a juror upon its authenticity I would unhesitatingly give my verdict in its favor. I can prove its truth as clearly as any proposition ever submitted to the mind of man."
--Alexander Hamilton, Famous American Statesmen, p. 126.
"It cannot be emphasized too strongly or too often that this great nation was founded, not by religionists, but by Christians; not on religions, but on the gospel of Jesus Christ. For this very reason peoples of other faiths have been afforded asylum, prosperity, and freedom of worship here."
Patrick Henry--The Trumpet Voice of Freedom: Patrick Henry of Virginia, p. iii.