Neither. The biggest inspiration is the Magna Carta, the failures of the Articles of Confederation, and Cato. The Federalist Papers go into great depth on what and why the nation should ratify the new document. The Papers also discuss the origins of many of the ideas and concepts incorporated into the new government being proposed and how they would be better than any document before for the people. That in itself is counter to any religious belief that God was first. While we may trust in God all others pay cash!