Movie Politics: U.S. Presidents, the Zeitgeist, and Movies Associated with Them

Is there any significant link between the political regimes (the resident), the zeitgeist, and the kinds of films that are typical or prototypical of their respective administrations?

President Lyndon Johnson: In the Heat of the Night (1967)

President Richard Nixon: Dirty Harry (1971)

President Ronald Reagan: To Gun (1986)

President Bill Clinton: American President (1995)