You can dislike or even "hate" Obama w/o being racist. No doubt. But many people who do are indeed racist. They're the people sending around watermelon jokes, calling him and his family monkeys, saying he looks like a skinny ghetto crackhead, claiming he wasn't born here or
saying someone should shoot the n****** The modern Republican party won't/can't distance itself from such people which is why it is in danger of becoming an explicitly white nationalist party. In a country that is changing rapidly demographically this could become an increasing problem over the next 3-4 presidential elections.