"The fact that some parts of the Declaration and/or Constitution are not in conflict with verses in the Bible does not mean that the Bible was the source. This is especially important when -- as in the case of the Declaration and the Constitution -- the authors claim other sources, but do not claim the Bible as a source!
In a May 8, 1825 letter to Henry Lee, Jefferson identifies his sources for the Declaration's principles. He names as sources: Aristotle, Cicero, Locke, and (Algernon) Sidney -- he does not mention the Bible. Then again, the terminology in the Declaration is not specifically Christian -- or even biblical, with the exception of "Creator." The term "providence" is never used of God in the Bible, nor are "nature's God" or "Supreme Judge of the world" ever used in the Bible.
In the hundreds of pages comprising Madison's notes on the constitutional convention (and those of the others who kept notes), there is no mention of biblical passages/verses in the debates/discussions on the various parts and principles of the Constitution. They mention Rome, Sparta, German confederacies, Montesquieu, and a number of other sources -- but no Scripture verses.
In The Federalist Papers, there is no mention of biblical sources for any of the Constitution's principles, either -- one would think they could squeeze them in among the 85 essays if they were, indeed, the sources; especially since the audience was common men who were familiar with, and had respect for, the Bible. The word "God" is used twice -- and one of those is a reference to the pagan gods of ancient Greece. "Almighty" is used twice and "providence" three times -- but neither is ever used in connection with any constitutional principle or influence. The Bible is not mentioned."
The link can be found here. By the way, apparently these comments come from an evangelical historian.