Because you cannot have a car moving at the speed of light, you are asking a question that basically says "Assuming relativity does not hold, what would relativity say happens"- it just doesn't make sense.
You can ask, "suppose I am in a car traveling (relative to some frame of reference) 99.9% the speed of light, what would I see?" You would see, of course, light traveling away from you at the speed of light and, if it reflected from some object, coming back to you at the speed of light, exactly as you would moving at any speed below that of light.