As a prominent sporter of budgie smugglers myself, yes, I do in fact think that Australian identity involves a great deal of authoritarianism. Its how the country was built, after all.
I will genuinely think this through, as I had never considered it could be part of a collective identity. I think in general Australians are quite disconnected from politics. Complacency is likely how we ended up with our authoritarian leanings in politics, rather than Australians having a desire for a more authoritarian government. But I do live in a bit of a bubble, and I do know when isses of security come up Australians seem pretty happy to give the government more control.
Authoritarianism is not just a political ideology, it is also a psychological personality which can be triggered by a multitude of factors. Australians have had a century for this memetic mental virus to be inculcated into their society - the easiest way to see this is to leave, learn another language, and then come back...