Yes, but NHTSA doesn't account for the safety of others, nor have they ever. They do have some pedestrian safety stuff, not sure if it's live yet, but, working on it.

In any case, the safety-class thing is really a big issue issue here, because you can buy a compact hatchback with a 5-star rating or a giant SUV with a 5-star rating, but those ratings aren't at-all comparable.

The thing is, making those ratings honest is really only going to make people want larger cars, because larger cars are actually safer. I think you could probably solve this by rating not only the car, but also the likelihood it will injure/kill a driver of the other classes of cars.

You could come up with some slick THIS vs THAT iconography, and that would allow people to realize that they're either driving an 8000lb death sled, or they'd rather not have that liability.