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In order to get beyond racism, we must first take account of race. There is no other way. And to treat some people equally, we must treat them differently. We cannot- we dare not- let the Fourteenth Amendment perpetuate racial supremacy.
No, in order to get beyond race we must not teach our children that race is a mechanism by which to categorize people. Children look to their environment to find the mechanisms to classify their world, and that includes other people. If race doesn't show up they will find other classifiers, but not race.
I personally find the whole concept of race reprehensible. It is largely a construct of Northern European history as practiced in the 18th and 19th centuries. The roots of the current racial groups trace to ethnographers based in countries that largely colonized by sea and skipped the slow gradation in external features well known to the land-based Arab traders of the first half of the second millenium (CE).
Modern genetics shows little supporting evidence for the sweeping categories that society still calls the "races". Science can't support the classification in the geographies of origin. In the US the classification is even weaker since the "melting pot" has recuced those genetic distinctions to uselessness.