Sadly we do. Fortunately, they are even more incompetent than the neo-fascists elsewhere - quite a proud achievement that.
https://en.m.wikipedia.org/wiki/Pauline_Hanson's_One_Nation
Angelo is a pretty typical Australian. I was planning on moving to Australia a couple of years back. They've got pretty thick racism, of the kind you only get if you've been isolated on a far flung island from fucking everything for centuries. It was the common overt racism that put me off moving there. The American deep South is cosmopolitan by comparison. Say what you will about Australian culture, but intellectual and curious it is not. They just don't know shit, and they don't care that they don't.
I'm not saying that all Australians are like this. I too am from a pretty anti-intellectual culture (Sweden). There's exceptions in every culture. But gah... When I was in Hungary I had an interesting discussion on Kafka and Nietzsche with a random construction worker in a bar. Good luck doing that in Australia (or Sweden).
I wouldn't say that Angelo was 'typical'; but certainly racists and petty fascists are a more visible minority here than in Europe. Interestingly, the rise of publicly racist personalities such as those in One Nation and other politician racists like Senator Jacqui Lambie seems to have reduced the frequency of casual racism (while increasing its vehemence); The Australian people have, increasingly, been forced to pick sides, and most of them turn out to be decent people who never thought deeply about the racist jokes they used to tell.
Outside Sydney and Melbourne, which are very cosmopolitan and have a similar political makeup to any similar sized European city, most of Australia is very homogeneous, so people's attitudes are rarely tested. Aborigines make up only a few percent of the population, and most Australians don't meet any in a daily basis (unless they live in the NT, and statistically, almost none of us do).
I have certainly noticed a rapid decline in casual racism since I arrived in Brisbane in 1994, and I think on the whole that Aussies are very rapidly becoming more civilised on this count - after all, as recently as the 1970s the official government policy was 'Whites only'. IMO the only reason Australia didn't have apartheid policies every bit as noxious as those of South Africa was that there weren't enough aborigines left near major population centres to provide any targets for such policies.
We are, as a nation, on a very rapid climb towards civilisation; and the conservatives are on the defensive. It remains to be seen if that momentum can be sustained, but so far we seem to be doing better (at least right now) than the US or the UK, who appear to be going backwards - perhaps mandatory voting has something to do with that. Non-racists may not be vocal, but at least over here they do vote (even if they claim not to care about politics).
I don't claim to be a 'typical' Australian either; a quick look at the Aussies who regularly post here shows a huge range of views. We are a very mixed bag, and include (just on TFT) racist islamophobes, wild-eyed conspiracy theorists, religious nuts, and some of the most thoughtful intelligent and well reputed posters around. Off the top of my head, the list of Aussies at TFT who post regularly includes:
GMBTeach,
Angelo,
Bilby,
Will Wiley,
Bigfield,
Lion IRC,
Spikepipsqueak, and
Tigers
And likely a number of others I have forgotten (sorry!).
Good luck finding any position on any political or religious issue that everyone on that list would agree with.
