Family lineages .... the contemporary 'Australian family'?

Last week I attended the funeral of my almost 82 year old Aunt. It was a moving time for me, and others and the service was a meaningful ritual for those present. My Aunt was a third generation Australian (dating from 1850) and she had three great-grandchildren (i.e sixth generation). By the sixth generation family lineages could be traced to Ireland, Scotland, Cornwall, England, Ukraine, China (via Malaysia) and possibly more. I am sure that today many Australian families must have similar or more diversity. I am also confident that if asked everyone would have said they were Australian. But I wonder how they would have answered if asked 'what is it that makes you Australian?' Unfortunately it was a question I didn't ask.