Racism will always exist. People always make stereotypes, and sometimes there are grains of truth to those stereotypes. Of course, that exists not because of genetics, but because of cultural background. Racism as an issue will only go away by not teaching it to the next generation. There will always be holdouts who teach their kids to be racist, but generally it will slowly pass. My 7 year old nephew-in-law didn't understand black and white until his teacher taught him, he never saw it before. That's not because he was raised to be tolerant and to toss aside prejudice, but because he wasn't taught prejudice.
That's a nice anecdote, but that's also assuming that much more of human nature is learned and not innate. You will never erase gender differences, prejudice, love, violence, greed, homosexuality or race from your society; many have tried, none have succeeded. Like cancer or something more benign like our brains, the good and bad are a part of us. I wonder, how many of us learned their sexuality, because they were taught it; or discovered it, because it was?
If we are to bring up interesting anecdotes of childhood, I was raised in a mixed race family of mixed race persons in the most diverse capital of the world in a school that taught us we were all the same and could do the same things. Problem is, what was said did not match up with what was seen. It was abundantly clear we all hailed from four corners of the globe. We were all friends, but that speaks more to good nature, good times and knowing who you could trust. When things went to shit people very quickly began flocking to their ilk, or the closest to it. The only people you could trust not to start anything with you were those you were friends with or those of your kin.
This would suggest to me that for prejudices to form, you'd need two of two things. The first is to have differences, people of different races in one community. The second is for negative experiences within the community, to create a negative frame of reference in response to future interactions within the community - creating the first pre-judgements. And the mechanism for the former? Biological. The catalyst for the latter? Socio-economic. It is no wonder that amongst white Americans the stereotype for the PC Socjuc is a wealthy student who is owns many material objects of expensive brands whilst the racist is a country yokel without wits or dollar. The former has only ever lived in a resource-abundant society of tolerance, trust and safety, the latter has only ever lived off blackland dirt being prejudiced, violent and paranoid. Lots of people look into whether racism precedes poverty, but rarely the other way around. Likewise, there is always that latent capacity for prejudice that need only a poor strata of society to effect itself in full force. Pardon the Godwin, but Germany was a poor nation, and then it birthed Nazism.
So I don't think stereotypes will ever pass. Instead, teach that you shouldn't preemptively judge based on a stereotype. A common stereotype is that white men are more educated than black men. And its true there were more white men at my engineering school, but you wouldn't have guessed that after speaking to any of the white and black men at my old college. Teaching people that stereotypes are inherently harmful is morally wrong and false. What about the stereotype about serial killers usually being white men? Its true. What is wrong is assuming someone is a serial killer because they fit the stereotype.
The latter example about serial killers usually being white men is especially interesting to me. Firstly because since the 90's onwards in the USA
majority of serial killers have been black. Stereotypes often persist long after their accuracy has perished, and are highly affected by modern mass media. It is always a source of amusement to me when the PC media throws around 'youths' with reckless abandon; Swedes even went as far as whiten pixelated faces of attackers. In America the greatest cause for this wonky media representation is not based on who the killer was, but it's like with the death penalty - it lies therein with who the victim was. Beautiful white women who get killed feature most prominently in all news coverage, and by consequence since most serial killers kill within their race they are featured most prominently, creating this stereotype. Secondly, it is hard to grasp the message that stereotypes are not inherently bad if they are true, if you would then contradict such a statement immediately afterwards saying that holding people who conform to the stereotype up as part of the stereotype is wrong. How do you hold onto stereotypes that are 'true,' whilst damning it as immoral? This is not a rhetorical question by the way, I would genuinely like to know.
Also, forcing people to marry inter-racially and "crossbreed" is very similar to eugenics. Would you rather all of the racists be forced to marry women they hate, beat them, hate their children, and screw them up for a few generations, just because of the misguided belief that exterminating diversity can be accomplished, and will result in a better world?
Racism is not specific to men, one thing we should be certain of at any rate is mankind's universal capacity for prejudice. And that's not even bringing up how it isn't just similar to eugenics, it is the UN definition of genocide.
TL;DR, people see patterns naturally, and its important. Instead, teach people how to be more human, and understand when not to assume based on a pattern they believe is true, and to challenge the patterns. Man is an animal, and civilization is in many ways about the transcendence from animal behavior. Our natural ability to see and reinforce patterns is an animal trait, and important. Understand when its not the answer, like understanding when violence is not the answer. Like violence, sometimes trusting the pattern is a good thing.
Sounds reasonable enough. But this is also a colossal undertaking, and one whose outcome I am not sure is worth the means taken to get there. Perhaps this is because I don't particularly care about social justice and am far more concerned by the continual decay of individuality, responsibility and liberty in the name of homogenous nihilism; but that is just my own personal prejudice.
*EDIT
On reflection, I think it would be wrong to consider prejudices as innate or learned; the two do not have to be exclusive. It could be innate and learned; I recall the friction between Jews and Arabs both from Jerusalem in London not getting along particularly well, and racist banter between Sephardi and Ashenkanzi Jews who to an outsider looked pretty much alike.