Not only shouldn't race be a factor, the schools should not even be allowed to ask for that info. Same thing with gender and disabilities. Although after being admitted, then they can ask for those two in order to provide proper accommodation.
Only exception I can see is if the school is all one gender, then they can ask for gender up front. Same thing about asking for religion.
His argument seems to be that other groups get special privileges, so should minorities. I don't know if his claims about veterans and legacies are true, but even if they are; too bad. If a school wants to give a slight advantage to legacies enrolling, that's their choice. And if any group deserves an advantage it's veterans, and that's because they are the only group I can think of that actually EARNED it.