StoneByStone
It's OK to Be White
I don't think it's going to be that bad as far as racial tensions go. What we'll likely see is Latino becoming the new white. Latin America already has its equivalent concept of white, along with associated racial issues towards those of black descent and sometimes indigenous descent.
Well I'm sure at some point, most white Americans will be of Latino descent, as opposed to English/German/Irish descent. But they're still going to be talked about as privileged oppressors. In South Africa, much of the racism is directed at Afrikaners, despite the people responsible for Apartheid mostly being of English descent. Like in America, people see race as the main defining feature in South Africa, so ethnicity doesn't matter as much.
I'm sure that in a generation, when Whites are the minority, and we're being oppressed like in South Africa, many Whites will claim that they're Latino, not WASP. But the anti-white crowd will say white Latinos still "benefit from and contribute to White Supremacy."
The main thing I'm worried about are the associated cultural issues in Latino culture. Most Latino societies have significant issues with corruption that go beyond issues of government structure. Most Latino cultures have a concept of trust that only exists within the family. Those outside of the family are generally distrusted. It's similar to how Italian culture often functions. Cronyism is more rampant in cultures that have this trust paradigm.
Like with Italians, the white Latinos will assimilate and become American. Though the brown Latinos will probably retain their culture in their own enclaves, which is already happening now.