The oppressed people of Metraplex province mistake Gina for their beloved Princess Metra, but her new status could prove dangerous.
A hermit (John Astin) helps the Sterlings rescue June, who is the prisoner of a half-man/half-beast that has fallen in love with her.
The Sterlings try to remain anonymous in a city ruled by women, only to have Trace enslaved for an innocent infraction of the rules.
While attempting to evade Zone Troopers, the Sterlings flee to a region where a crazed ruler has outlawed families.
Gina and Trace introduce rock 'n' roll music to astonished Centrex City, causing a cultural revolution that reaches Kroll's attention.
A storm deposits the Sterlings on the shore of an island, where a resort hostess falls in love with Hal.
Hal and June try to rescue Trace, whose plummeting school grades have earned him induction into the Zone Troopers.
Suddenly trapped in a strange dimension, the Sterlings and their children are pursued by an evil military leader.