Which Deist.?... Labeling people absolutely is fraught with chance for error.. I believe in the bible .. literally in places and metaphorically in others (when metaphor is present).. and poetically or as prose in places where that teaching mechanism is present.. Some Deists approached the bible in exactly that way too, I surmise.. but not only Deists but non Deists too.. Looking for a silver bullet to disprove the Christian heritage of America should be a job left to those that despise Jesus and the statement of his life. Even if the Jesus "story" were a myth.. its been the best seller for as long as books have been printed in presses.. People like that "story".. includeing most founding fathers(by their statements).. Why?, becuase its deep, broad in scope, and the founding fathers were not idiots.. They knew freedom when they saw it..
Jesus makeing literally all religion (and other man made institutions) obsolete by his sacrifice, must have encourged them to do what they did.. Jesus rocked and the founders rolled..
Some belivers in God were not too smart, like Deists.. but they were still believers..