The 180 IQ thing shows mate, though if you'll excuse me for saying, all that quoting above is sort of turning into a "pissing" contest. Many posters here are out past my CPU's capacity (I barely rate Mensa membership), but sometimes the layman's point of view can be worth tossing into the fray.
Trying to explain trek warp drive in terms of present day physics is probably akin to having Archimedes explain a transistor. A new paradigm is needed to explain warping space without energy expenditure of stellar magnitude and black hole strength grav fields. Basic trek tech (which is all just good fun - this ain't the CERN forums) has coils composed of milanium or verterium cortenide converting em energy to "subspace field stress" in some far less violent manor than Alcubierre or any of his mates would say was likely.
Steer the 180 IQ toward sorting out unified field theory (or what ever it becomes) for the less gifted of us, and then see what FTL "slight of hand" the universe offers up.