There are some rare (emergency) situations where "superspeeding" might help, but I can think of many others where it may kill. It is not great for the environment either.
I think limiting speeds to, say, 100mph for every road legal car will be unpopular. People love their fast cars, especially the rich and powerful, and manufacturers love to sell them. But technically, it should be easy to implement, and may improve road safety.
I am only talking about the top speed, powerful cars will keep their high acceleration. There is also a good chance that people will modify their cars to raise the top speed, and it is fine outside of public roads, but could result in serious penalties if caught using such a modification on public roads.