A lot of places in the world already have this, where there are "personality rights", and usage of a person's name is automatically protected. As it should. This is part of copyright/IP laws.
Unfortunately, in the US these laws have barely any teeth in the first place, and even if they did, well you are probably familiar with the corruption things and malfunctioning justice system stuff they have going on there, as you hear people often speaking, very matter-of-fact that in a court situation, the party with more money simply wins.