Oh Lord. No. The two are not equivalent. "A behaviour carried out by some non-whites" is not the same as a systemic exhibiting of power and privilege to degrade and define and dehumanize others. There is no equivalent for "non-whites" because we don't hold power and privilege. Comments about "white people" who are the privileged minority and that refer to racist behaviour by white people aren't equal to whatever generalizing and stereotyping of people of colour you might be referring to.
Originally Posted by Amneris

This^.

And by saying that they are equivalent is pretty much an example of white privilege itself!