All that business about America being a great experiment in liberty or a special nation founded on ideals vs. blood and soil and personal fealty to a monarch is the same kind of exceptionalism—though couched in rational, deist-ish language. The overall concept that this is a VERY SPECIAL PLACE RIPPLING WITH PROMISE AND PROVIDENCE is still central to the American identity. That we’re special is more important than why we’re special (Jesus, predestination, Enlightenment principals, natural law, whatever).