Is the Australian Government a registered Corporation in the USA?!

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Is the Australian Government a registered corporation? As I understand it, and I must admit that I am not in any way legally minded or very knowledgeable in regards to politics, the idea of a corporation is to make money for it’s investors. Now Australian citizens are not investors in a monetary sense IF the Australian Government is a corporation. So, we can’t earn any dividends from this corporation, but it is in the interest of the corporation NOT to spend money unless it can also make money.
Funding cuts to public services are obviously making money for someone, but certainly not us. Money spent of firearms registration comes out of our pockets, and again is not for our benefit. Money spent on gun control and gun confiscation is again payed for from our taxes, but again does not benefit us in any way or form. We work all our lives, and part of the deal was that we get a pension when we retire, but again, pensions have been cut and the retirement age extended! All this is putting money into the government coffers, but we the law abiding citizens are not receiving any benefits.
So, can anyone throw any light on this Australian government corporation thing? Is it fact or fiction? Is the Australian government a USA registered corporation?