Kelly's comment reflects simplistic thinking.  She contents that to be president, one has to be an "American," the implication being that those who use identifiers such as African-American, Taiwanese-American or some other label reflecting their ethnic identification, are  "less" than fully American. 
Research has found that European-Americans are least likely to notice racial disparities in society because they belong to the majority racial/ethnic group--they are white. European-Americans have dominated US political system through both violence and by effectuating laws that exclude Americans who are not white. An important aspect of racial/ethnic identification is its function as buffer and a safe haven that provides psychological protection against institutionalized racism, a systemic problem in the U.S. that researchers are finding has very serious health implications. Racial identification on the part of the legally marginalized, is the direct result of institutionalized racism.