Rhode Island State Trooper Charlie Baileygates has a multiple personality disorder. One personality is crazy and aggressive, while the other is more friendly and laid back. Both of these personalities fall in love with the same woman named Irene after Charlie loses his medication.

Former Nazi Klaus Abard survives to the 1990s by taking anti-ageing pills. He plans to use a time travel trip to return to Germany in 1944 and present Hitler with a hydrogen bomb, so that he can win the war. Unfortunately the pilot, woman-chasing Karel Bures, dies on the morning of the trip and his earnest twin brother Jan impersonates him, without knowing about the plot. The plot goes wrong when they lose the bomb and land near Hitler's bunker in 1941, at a time that the Nazis sense victory. Bures, with two of the plotters, escape capture by the Nazis and make it back to the time machine. Bures programs the machine to return one day before they left, because he figures he can then save his brother and foil the plot.