Yes! The Enterprise is based on warp theory... warping space to create a sort of bubble outside of space. Weird, but interesting. The Falcon uses ion propulsion which is actually in development, but isn't in the Smithsonian, I guess? Both are an unhealthy obsession of mine.and Galaxy Quest is a great flick.
Always the best scenes in both movies were during emergencies and they were having trouble going into warp speed or hyper-drive (you'd have to correct me for what light speed was called in Star Wars). Captain Kirk screaming to Scottie saying "we need more power" and Scottie screaming back with his thick Scottish accent "She's giving all she can give Captain," and they are moments from being swallowed up by a Black Hole. My favorite hyper-drive scene in Star War was when the Millennium Falcon goes into hyper-drive and R2D2 isn't strapped in and falls down the hole into the electrical compartment and R2D2 gives his classic electrical scream as he is rolling and falling. (You can alomst hear C3PO saying like an old lady, "Oh dear, R2D2 are you okay"). The thing I always thought was super-cool (and very counter-intuitive) with the Millennium Falcon was the fact that the cockpit was on one side, so Hans Solo was always flying blinds on the other side. Think of how boring she would have been had the cockpit been centered on the top.