Ok, so to answer this we must first assume a couple things.

1) That the last answer I gave on speed of light, was just total bullshit.. (no…. couldn’t be).
2) That our spaceship is so damn hardcore that it can turn into a massless photon like object. I say this because if we can’t turn into a photon we would require an infinite amount of energy to accelerate to light speed, which means that only a spaceship with an “infinite improbability drive” would be able to do it, and then only by random chance.

Given to these assumptions your headlights would function just as well as they always have, however you would be more disappointed at the results than you would with putting fake xenon headlights on your car; since the light that they create would be moving the same speed as your spaceship and therefore the light could not escape.

So my suggestion is that you slow the fuck down so that you don’t go accidentally getting caught in a planet or some space debris where light cannot pass. Or that you find a way to go faster than light so you aren’t bothered with such debris. I speculate that if you were to face backwards you could go faster than light travel however, if you did that then no matter what your destination, you would always arrive at night.

I have never really believed that light actually goes at the speed of light. Have we any proof? I worked out that it should go at root two times the speed of light (c) making the constant itself irrelevant.