Equality and racism are not opposites.
Equality is hatred of those "above" while racism is hatred of those "below." Above and below what? Above and below the person feeling it. Emotions are relative to the experiencer. What the experiencer hates that is beneath her constitutes her xenophobia. What she hates that is above her constitutes her equality. In real life equality is an emotion.
So the hatred of the conservative by the liberal is her xenophobia, of the minority by the conservative his xenophobia, and of whites by minorities their xenophobia.