A white affirmative action is a series of exceptions, put forth by the southern arm of the Democratic party, which precluded a large majority of nonwhites from benefiting from Roosevelt's New Deal by disqualifying certain jobs (those dominated by nonwhite workers) from the policy.
Sharp disagreements can occur on the Supreme Court about how race can be used in school assignment plans because race is a politically tricky subject for it is also a matter of morals and not only law. Different justices see the same case differently because of how diverse their interpretations of the Constitution can be (to a certain extent).