The cultural significance of Star Trek cannot be understated. We're still waiting for warp drive and transporters, but nearly all of its other technological devices have come to fruition. The show was forward looking in another respect that we are a long way from: a united Earth.
Architecturally, the set design of the ship is resolutely 1960's modern. The splashes of color, the drab flooring, the blank walls---all speak to the fashions of model suburban home. No smoking, which is curious.