I just got off the phone to a white South African friend of mine. She has just returned from a holiday in South Africa. I asked her about white privilege in South Africa. This is what she told me:
Firstly it's difficult to compare SA with AU or even the US. This is because every white knows blacks, and every black knows whites. Most white South Africans my age were raised by a black woman. In the US black folk and white folk are somewhat more separated, and in AU even more so. There is also the obvious difference of minority white rule during apartheid. So the idea of privilege and dominance being linked to populations does not apply. (So I may have been wrong when I said that privilege probably goes away when populations cease being the majority.)
Before the end of apartheid whites were privileged, and most of them acknowledged this.
Since Zuma came to power all people regardless of colour have become much worse off. It's not like the blacks became more privileged and the whites became less privileged. Other than those who were very wealthy and the corrupt newly wealthy, everyone is less privileged and poorer.
So now no one considers the whites to be privileged, and they aren't. But neither are the blacks. It's pretty much become like a third-world country for everyone. Like a third world country there are the corrupt few who are wealthy, and those few who who were extremely wealthy before the trouble started.
Those whites who grew up during apartheid still have the privilege of a good education and good healthcare. But many of those used their privilege to leave the country. Those who are still in SA don't really benefit from any privilege they once had. But their children don't even have that vestige of privilege. All kids, black and white, receive an equally poor education.
This is not the way to deal with privilege. As
@rambot says, it's not to be crushed and destroyed. It's to be recognised, acknowledged, and shared. The problem with people ignoring and denying their privilege is that without acknowledgement no improvements can be made, and that can lead to the danger of those without privilege attempting to destroy and crush it.