Merci beacoup, for the warm welcome, Homer.
While I grant that we needn't all be Physics majors to participate in this forum, I would personally welcome any attempt by any one of you to educate me in something I am not wholly familiar with - so too, I hope, is the general attitude here.
At the risk of treading on toes a bit early in the game, I have to again stress that your relativistic assertion regarding the car and the bullet are in fact incorrect.* Removing the consideration of light-speed from the example (and thus all scientific complications of that vein that may arise), if we were moving in ANY vehicle that was travelling significantly faster than a bullet, the bullet still would not be overtaken by us unless we are taking air-resistance into consideration. However, if we're considering air-resistance, then we would, in our self-powered vehicle, eventually catch up to the bullet regardless of how fast we are moving, because eventually the bullet would stop. In a vaccuum, though, the bullet's velocity would forever be that of the muzzle-velocity of the gun being fired PLUS the velocity of our vehicle.
Relating this to the topic of the discussion, the headlight example is equally incorrect, at least within the tenets of relativity (it would be premature to argue on the basis of these new discoveries just yet). I will be most happy to provide you with Einstein's original paper on Special and General Relativity, in PDF format, if that interests you at all. But once more, the special case of light is that its velocity is the same in all reference frames - whether I'm standing still, or moving at near-light speed, the speed of light in a vaccuum will always be C (and when you think about it, this has yet to be disproven even in the wake of these recent experiments). Thus, if we could accelerate a car to light speed and then swith on the headlights, they would illuminate nothing, because in order to get ahead of the car and thus shine ahead of it they would first have to accelerate faster than it.
Again, I do hope I'm not causing offense by choosing to differ; and if I am in fact mistaken in my own assertions, I would be quite interested to hear the underlying logic behind your own. Perhaps we can share ideas privately, if you feel the discussion is too technical for everyone else here - but then, who knows. They may be interested.
*The basic gist of your comment, that a bullet fired from a car moving at light speed would not outpace the car, IS correct, I do grant that.