You have hispanics in central and south america who are of different ethinicities, as well as any other region of the world. That's like saying a black woman who was born and raised in Europe is now white because she's European. There was already a story some years ago about a white man running into trouble for entering a college and listing his race as african american because he's from south africa.
One of the reasons we have options for labeling our race is because there are so many of them. It's ultimately up to the individual to decide what they are.
"Slaves have options. There's escape, revolt, or death. But for cowards, there's only consequences..."--from Passing Strange