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You clearly don't actually know very much about America at all. What you think you know is highly superficial.
Actually Australians and Americans are culturally, on a deep level, incredibly similar. We both tend to be rather obnoxious cultures on the lowbrow level much of the time often valuing independence and individual liberty above total efficiency. We both have a disdain of authority and state (generally speakign relative to other cultures) which is a result of being former British colonies. We're both the rebellious teenager countries in many regards.
However, America is obviously the far more populous and wealthy nation. Which gives us certain advantages of power, and disadvantages of hubris.
And as Australian friend likes to joke, "we got the criminals, you got the Puritans, and it's yet to be determined who got the better deal."