Yes, because the speed of light is relative to where you would be positioned. Although, you would not be seeing the same image, as your line of vision would be distorted.
The lights would still be shining in front of the car. My speed (moving at the speed of light) would have nothing to do with the state of the other car.
To add: Assuming all was "perfect" and you could observe...It would depend on when the lights were turned on. If they were turned on AFTER you reached the speed of light then...no. They would never escape the headlight bucket as the bucket is moving the same speed.
If they were on BEFORE you reached light speed then the light would have a "head start" never to be caught and always in front.
Last time I was traveling at the speed light I was not able to see the lights on the stop light so I am going to say NO. Just kidding. I wish I was smart enough to answer this question.Lol.
I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.