I understand that you're not an engineer, so it may seem small to you, but if their vehicle is as big or bigger (usually the case) than yours and a vehicle pulls out in front of you and you pile-drive into them with the mass of the car driving yours into theirs, then the dynamics can be very bad for you and your car.
I do agree about inattentive drivers, but that is a whole other discussion.
I love this shit. I have been declared a tailgater by enough passengers that I have come to accept it. Get the hell out of the lane and move over, it's that simple. I check my mirrors constantly, there's no reason you shouldn't be too. Drivers who blocking lanes, whether that started unintentionaly due to inattentiveness and not checking mirrors, then turning intentional because you take offense to my tailgating, make me slightly agitated.
You make an argument for needing time to react to situations without fear of being rear ended. The need for reaction time is largely due to changes in flow of traffic. If everyone flowed...that's slow drivers in the slow lane, medium in the middle lane, and fast in the fast lane, there would be little to react to. Wrong vehicle speeds in the intended lanes, that's unexpected, that requires reaction, that's the hazard.
I am not an engineer either, but if you're concerned about your safety and not having enough room to react and maneuver, brake checking a tailgater should not be employed. You are an engineer, are you also a Nascar watcher? Please tell me the typical result that occurs when two cars meet bumpers...which car usually spins out? The guy in front or the guy in back? Do you want to be that guy spinning out? Don't brake check! If we end up tapping bumpers, I will stick my foot into the fuel pedal in order to remain in control of my own vehicle as a self preservation method, what happens to you and your car is up to you...your self preservation skills obviously went out the window the moment you chose to brake check, so hang on for the ride.
Also, as you are an engineer, please explain to us P=MV and F=MA, within the context of two vehicles moving down a freeway at speed and then making contact in a bumper to bumper situation. As I understand it, a heavier vehicle will have more M, so it will have more P (momentum) than a lighter vehicle. However, momentum is meaningless (as far as inflicting injury) unless it acts upon something. The only way the large vehicle with lots of momentum can act on a small vehicle is if their rate of velocity changes (which is defined as A) such that one can impart its momentum onto the other. Even in a high speed bumper-to-bumper tailgating incident, there is little opportunity to have a large velocity rate change in such a short tailgating distance, therefore A is really small. This means the resulting F is also relatively small. What am I missing here?
Again, watching Nascar, vehicles in the train get tangled up all the time. Those that manage to play high speed bumper cars while in motion sliding down the track (i.e. small differences in velocity / small A) suffer mimimal damage. Those that hit walls or otherwise slow moving targets (i.e. large changes in velocity / large A) are the ones who suffer greatly.