No, Australia follows the same theme I wrote in for the Britons and the Americans. Or, rather, serves the same purpose of a macguffin.
Soviets - techno empire, vast resources, the juggernaut.
Nazis - Mages, mystics, less resources, more tricks.
Britons - Commandos. A mix of tech and magic, the few free britons living in the Queen's Airship/Submarine, devoted entirely to awakening the British Bulldog spirit chained between Westminster. There are, perhaps, thirty or fourty thousand. Their magic tends toward spirits and druidism.
America - A barren wasteland ruled by the undead. Alaska, Hawaii are swum to. I like what happened with "dread hickory" and the constitutionalists. I just think everyone should be rendered undead, rather than anyone alive. They're isolationist. Necromancers.
Australia - Tech advanced, weak in amgic. Since Australia would have been overrun quickly, they were forced to retreat to the polar icecaps. Under Curtin's directorship, they became the planet's future-tech empire. Except they don't have the resources for up-and-out warfare, and pretty much noone knows they are there at all. They're out right boogiemen, to the point where Antarctica is shielded with a screen that makes it appear empty, when in reality it's covered in surface outposts linked together. Magic tends to focus on physical enhancement and dispellation of other magic.