No, race supremacy should not exist because all races should be treated equally. Unfortunately, it doesn’t seem like that occurs in the world today. Some people feel that their race is more important than other races. Also, it seems that when a crime takes place, then people may associate this crime with a race. Then people are scared of that race or feel that any member of that race will commit that crime.
That is not true. Everyone should be responsible for their own actions. No one should be grouped together and then a stigma placed with that group. However, race supremacy is not new. It has been going on throughout history and may be the main cause of many wars.