After landing in Rutherford, Ohio, Tommy is sent to school, Dick lands a university teaching job, and Harry and Sally stumble from one fad to another.
The Solomons find themselves being ruled by 'Evil' Dick. When Sally, Harry and Tommy reach the end of their tether, Harry discovers 'Nice' Dick is locked in the basement.
The police suspect aliens might have landed in Rutherford, Tommy tries to find a woman closer to his real age, and Dick has a new rival at work when an eccentric professor (John Cleese) starts working there.
Harry joins a circus, Sally prepares to lose her virginity, and Dick tries to prove his worth by holding a fashion show to raise enough money to have a statue restored.
The Solomons try to thwart the attentions of a reporter, Dick considers having plastic surgery, and the Big Giant Head (William Shatner) reveals to Dick that he is his father.