Easy answer seeing how I am of great decedent from these people you speak of....They worshiped a god of the sky as do may look up today for God.
Also remember...
There is no direct mention of God in the Constitution, except in the formation of the date used in the document: "Done in Convention by the Unanimous Consent of the States present the Seventeenth Day of September in the Year of our Lord one thousand seven hundred and Eighty seven". The Lord in this phrase is, of course, Christ.