It is accurate for some of the founding fathers. Deims stated very simply is the theory that God exists, started the world, but does not interfere in the day to day operation of the world. It was popular in the day to believe that God had a hand in day to day management and was like an overseer in a factory to humans, watching his workers and doling out rewards and punishments accordingly.

Thomas Paine among others was a Deist, while others were "light Deists" - Jefferson made the comment that one ought to digest the spirit of the bible then spit out the parts that didn't make sense. There was far more skepticism of the holy book among the elite of that time than the faithful today - while today our debate may be "should we take religion seriously at all", back then the question was which texts in the Bible were authentic, and which beliefs were doctored. The founding fathers were educated about the possibility that some texts could have been "inserted" into the Bible and that the book's origins were dubious, so the "edgy" thing to do in the day was to pick and choose your own favorite parts.