Except that the addition of the driver coil neatly provides that needed "fudge factor" for the rocket equation, either by lowering the mass of the ship or raising the mass of the exhaust. At a specific impulse of, say, 300,000 seconds, impulse engines would be able to do everything we see them do and more.That description doesn't really match the facts, though. Impulse engines are at the wrong place to be rocket nozzles. We never hear of impulse engines spewing out anything that would blast out like a rocket jet; instead, they fart out plasma like a tailpipe. There's the whole reversing and maneuvering thing. There's the defiance of the rocket equation, the insufficient propellant mass. And there are the numerous ships that move at sublight without the benefit of anything that might be a rocket nozzle.
A mini-warp drive with a tailpipe would be a better match for what we see than a maxi-rocket in almost every sense.
Timo Saloniemi
Of course, every science fiction show in the history of the genre has failed to take realistic fuel requirements into account, so I'm not sure why we should expect Star Trek to be any better in this regard; if we wanted to be THAT realistic about it, most of the things on the ship could not logically exist to begin with.