In Chapter 2 of "The Scarlet Letter," what was the relationship between religion and law in Puritan New England?

A bit of follow-up history -- the New England Theocracy was destroyed after the Witch Trials, and religious and secular authority became separated.  This separation was of the utmost importance.  Two generations later, when the Framers of the Constitution began designing a new method of government, the concept of separating Church and State was utmost in their minds, not only from knowing their own country's history, regarding what happened in New England,  but also knowing the bloody history of "Old" England during its religious conflicts between Protestant and Catholic.  If anything good came out of the Witch Hysteria of the 1690's, it was this separation of authority, which thankfully has remained mostly intact in the United States.