I'm not sure it's quite as simple as that. If I were to convince a klan member that race doesn't really exist, do you imagine his discrimination would disappear?
Racism is built on tribalism and fear as well as ignorance.
But I agree with the sentiment. I think we’d be better off in all kinds of ways if more people understood how silly it is to believe that people who happen to have a similar skin colour are all the same “race.”.