No we do not. There are many differences between the dialects spoken here in Oz and over there in Pommieland (look that one up). There are just as many, if not more, differences between here and the US. Its not just dialect. Your spelling as evidenced by the way the builtin spell checker in my browser rejects the perfectly correctly spelt colour, neighbour, favour, behaviour, and many others, is atrocious. Even your light switches are upside down.
When I was in Sydney a few years I was disappointed that I wasn't hearing many people using Australian terms. Sure the odd "Cheers Mate" but not much else. That changed while riding a City bus and a car cut the bus driver off by turning through the bus lane in front of him. The driver let loose with a good 60 seconds of the finest Aussie cursing you can imagine.