[If I somehow put my foot in my mouth somewhere, sorry. And also help me pull it out.]
I think the only problem in terms of re-identifying oneself due to these genetic -*test*-('")s is if one actually had a fairly... tangible? solid-y?... racial identity already.
I myself don't think I would have a problem, because to be honest... I don't exactly belong to a single race. Legally, yes, but not in terms of self-identity.[1] Being Mexican-American myself... I don't really have a fixed racial identity. A genetic -*test*-('") would simply tell me what percentage of the mix is what, but that really doesn't change anything for me. It's still a mix in the end.
I can't vouch for anyone with a single racial identity, as I really don't have any idea what that's like.
Unfortunately, if people start thinking these differences matter... I will probably be screwed. Even more so than now.
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Footnotes
[1] Apparently, due to the Mexican-American War of 1848 and the Treaty of Guadalupe Hidalgo, Mexicans and Mexican-Americans are legally 'white', in regards to the US Census. See back of cereal box for details.
i don't have a single racial identity either; i'm predominantly irish with a bit of native american tossed in - there's not a lot of questioning on my part.
i can see how someone like my daughter (who has backgrounds from at least four races) might be curious at some stage in her life...
i think the biggest form of prejudice to arise from dna research will likely involve health insurance and who will be considered the biggest risk for certain diseases, like cancer.