I'm white, but have a pretty diverse mix of cultures and shit in me, with a splash of Asian thrown in. I don't consider myself any particular nationality or race.
This isn't a problem for me since; and I don't know about Australia, but where I live (Canada) has pretty much no national identity whatsoever. The US is pretty much the same, though they don't like to admit it. The only ones on the continent with any real nationality are the Native Americans. The rest of us need to live here several more centuries before we can say the same.