What I found strange about this is that it can change. I thought of Mr. Obama as a Black person. Now I think of him as an Arab person. Or a White person.
I see an east coaster in him. His hair just looks like an old persons now. I think I see some Asian in him also.
Well others can hold on to the "one drop rule" but nowadays that seems kind of genetically primitive.
So I think there is something else --- nowadays I think it is called choice. You can choose to be identified as Black if that is what you want. Or like my 4.5 year old half Asian half white says - "I am just me".