It's both wrong and illegal to reject a candidate based on their race, regardless of what race that is. And I am pretty sure the OP was not implying otherwise. Further, I assure you that white people file discrimination lawsuits too.
// Out of interest have you a reference to a white person winning a race discrimination case, preferably with regard to being hired?
Also why should "an applicant who had 'President of African-American Student Union' on their resume because it belies their race?"? Surely a person of any race can be president of the African-American SU, or are they allowed to be racists?
http://www.dailymail.co.uk/news/article-1077466/London-Under... is a case of failing to protect a white worker from bullying whilst at the same time being extremely protective of black workers.
Just FWIW.
Well, likely he wouldn't, but we can be sure that he would reject someone outright for having "President of the European-American Student Union", can't we? Charitably, this is because there is essentially no chance anyone would ever file a lawsuit for rejection of the second candidate. I'm sure you can draw the uncharitable version yourself. :)