I just looked at the site, and oh my god I had no idea this idea was _this_ terrible.
It's almost as if this project was conceived by a bunch of fanboys with way more enthusiasm than skill.
I mean, the original design for the TV Enterprise was specifically chosen to be a departure from the then-current missile and airplane-like designs in order to imply a level of technology far beyond that prevailing at the time. Even in-universe, the design requires technological aids (like, say, an impulse drive, warp drive, dilithium reactor, artificial gravity) to be practical, none of which we know how to do.
If you really want to build a spaceship from SF for realsies, I would suggest a more practical design, like, say, the one from 2001: A Space Odyssey, or Babylon 5's Omega.