My wife has worked in the engineering field for a while. There are tons of foreigners in that industry working in the US. They all initially come over on a special technical worker visa that allows them to stay indefinitely as long as they are working, this gives them time to get a green card and apply for citizenship. Some of the engineers she has worked with were Kiwis, so I imagine an Aussie could probably slip in as well. Lots of places have a majority of foreign engineers. The reason America invents so much of all the new technology is that we're smart enough to recruit a lot of the smartest people from overseas!
For point of clarification, a green card, is the slang term for legal resident alien status. A resident alien can stay forever, and has most of the rights of a citizen. They can't vote or hold political office, but they can own guns, and they can serve in the military but not as officers.
Also, although Budweiser, Miller, Coors, etc; are piss weak beers, you can buy all manner of beer at an ordinary supermarket in the US. My local supermarket stocks all the big brands, probably dozens of smaller beers, micro brews and imports. Not to mention hard ciders, mead, etc. You can find a beer you'll like in the US.
And, a big bonus that was mentioned above, for some reason American girls love the Aussie accent. You'll probably do 100% better with girls in the States than at home, because over here you'll seem exotic.