Do! I really think that it stand well as a SF story! It probably helps that, within the context of the show, it takes place in a parallell universe that is just featured for one episode arc. So the characters are the counterparts of the shows regular characters which means that one can, with good concience, leave out, or change, such things as iconic clothes, spaceships and relation.

I hope you like it if you read it!

(I can really recommend Doctor Who as a show if you want something new to Watch!)