Mmm, that's actually an interesting question. While, of course, the margins are nothing compared to say, African-Americans. But is there any racial or similar demographic that varies that much over regions? Non-Southern vs. Southern Whites might be the biggest regional-racial gap.
Your regions may be too broad. Did Wyoming Whites really vote any differently? It may be a product of simply regional differences in philosophy, but it's more noticeable in the South where African-Americans provide such a distinct contrast.
It just seems interesting how the other 3 regions are politically balanced, while the South sticks out like a sore thumb from the rest of America. The reason is mostly due to racial polarization, but it is a still shocking result nonetheless. It may also be somewhat due to differing philosophies, but why is the South so shockingly different from the rest of America? Since the days of its peculiar institution of slavery, the South has always been a radically different from the rest of America.
If you want to get into smaller subsamples such as individual states, Louisiana whites voted 90-10 for McCain. matching the result Obama got from African Americans.