I just had to drop this in, even though it's late in the discussion...
About the comment above by the OP: shifting into neutral at a stop is NOT controversial, it's bad driving. If you're worried about gas, come to a stop and kill the engine, then re-start when the light changes. (Don't blame me when your starter motor wears out early.) When you leave the car in gear with the brakes on, it often idles at 100-200 RPM lower speed than if it's in neutral.
If you car is at 1100 or 180 RPM when stopped at a light, get the damn car fixed, don't debate about whether to be in gear or not. It blows my mind that people drive malfunctioning cars and pull all kinds of weird, dumb stuff to compensate, when they should just keep the car properly maintained!!
When you shift to neutral, you lose ALL control of your acceleration - you are nearly helpless if an emergency occurs. All you can do is steer and brake.
I can't tell you how many times I have had to goose the gas just a bit as I was stopping when someone behind me waited too long to brake. I'd have been rear-ended half a dozen times if I had not had the car in gear and been able to pull forward slightly to avoid the idiot behind me.
A proper lane change at any speed absolutely requires a knowledge of weight transfer, traction and how to use acceleration and deceleration to transfer weight while retaining control. Momentum is a not really an issue other than how it affects weight transfer and traction. The Bondurant School and State Patrol Instructor schools teach this quite effectively. It's a longer discussion than appropriate here....but done well, you can change lanes in a full-size car at 50 MPH in 1.5 car lengths...while retaining control. Been there, learned that.