The plot of a man's DNA mixing with that of something else is lifted and the gene splicer's look is based on that of the teleportation device from this film.
When Timmy wishes for a world without technology, it turns into a parody of this show, complete with the textured backgrounds, the Turners becoming the Turnstones and Timmy sliding down a dinosaur's tail and shouting a "yabba-dabba-doo"-esque catchphrase.