Most drivers do not appreciate how dangerous speeding is, definitely. As a libertarian friend of mine will say, "people automatically drive at safe speeds". (He has a very libertarian thinking style.) This view seems to be believed by the public at large if not stated explicitly, though it is false.

To be fair, one needs to consider both absolute and relative speeds. Risk increases monotonically with absolute speed, but if you are going around the average speed of other vehicles on the road, that is safer than going slower. Many drivers I've spoken with will point that out as if it says speeding is safer. But the reality is that slower speeds for everyone and relatively little spread are what's actually safer.

Learning patience and driving slower is a more productive use of one's time than fighting a speeding ticket. I am confident there's something about cars that actively erodes away patience in a way you don't see in bikes for example.