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The 1964 movie "Seven Days in May" touches on this topic, https://en.m.wikipedia.org/wiki/Seven_Days_in_May

"President Kennedy had read Seven Days in May shortly after its publication and believed the scenario as described could actually occur in the United States. According to Frankenheimer in his director's commentary, production of the film received encouragement and assistance from Kennedy through White House Press Secretary Pierre Salinger, who conveyed to Frankenheimer Kennedy's wish that the film be produced and that, although the Pentagon did not want the film made, the President would conveniently arrange to visit Hyannis Port for a weekend when the film needed to shoot outside the White House."