The people who have lived here knows that the main influence in Australia is the US culture. Anyone who has been to LA knows this. Just take one look at Sydney and it'll be obvious to you. Australia is the place where American fast food outlets kick off when they want to expand outside the US. It is second only to Hollywood in the production of western style movies. It has been said in the media many times that California has more in common with Australia than some other US states. We surf like they do, same style of music, the fast food culture, cheap petrol, muscle cars, architecture.
Not long ago, it was suggested by some think tank that we are so close to the US both culturally and politically that we ought to become the 51st US state.
It has not always been this way, back in the 50s and early 60s, the influence was English but that is long gone now.
Probably the only hangover form Britain is that we still drive on the left side of the road but that will change too. We have used $$$ since '66