Every country has issues with integrating immigrants, but what I find interesting about Australia, is that when there are issues, it's with 2nd and 3rd generation immigrants, rather than those who have come to Australia directly.
I'm not sure why that is. Whether it's due to a failure on behalf of the parents to try and integrate their kids, or a reaction against 'white' Australia that won't welcome them, but it seems unique compared to other countries. I'm thinking it's a little bit of both.
In Sydney the police have actually set up a 'middle eastern crime squad', in response to the high crime rates amongst middle eastern, particularly Lebanese, youths. Whether that's considered a sign of racism or not, I don't know. But from my own personal experience, these are people who were born in Australia. They're pretty much as Australian as I am (my father was English). Yet, they seem to create some romantic notion of their parents homeland, despite the fact that most of the time their parents came here for a better life. It's a strange thing.
What I think it boils down to is that despite all the claims that Australia is really multicultural (and if you look at the statistics, is seems as though were are), a lot of cultures are still compartmentalised. Asians hang out with Asians. Lebanese hang out with Lebanese. Pacific Islanders hang out with Pacific Islanders, and Italians hang out with Italians. Anyone who went to school in Australia knows this is true.