Star Trek as crosstime travel

[tmazanec1]

You know, Star Trek would have worked better if it was written as a parallel earth series, instead of an interstellar series. Most of the aliens looked like variant human races, most of the societies were takeoffs on human cultures, etc. Also, you would not have the problems of FTL travel if the Enterprise was just an orbital spaceship that could slide sidewise in time.
Would you have like ST better this way?