MMario: Don't know if it was a remake, exactly, but the movie definitely preceded it. "The World, The Flesh, and the Devil" (Harry Belafonte, Inger Stevens, Mel Ferrer) came out in 1959. The TZ episode, "Two", first aired on September 15, 1961.
Seems likely that the episode lifted the characters' predicament from the first part of the movie (before Ferrer came on the scene). On the other hand, several TZ episodes used nuclear holocaust as a plot device, and the brotherhood of man and the conquering of stereotypes were recurring themes throughout the series.
Wow, I haven't thought about that movie in many years. Thanks, MMario!