There were, of course, the predominant Anglo-Celts. But also those of German, Italian, Dutch and Greek backgrounds. Along with displaced persons from war-torn Europe, many from the east. Implying, as it does, that Australians of British and Irish backgrounds were somehow united. Australia has been a remarkably tolerant society, leaving aside the testament of the indigenous peoples.
Ideologies are important.
Yet the nature of a society can best be determined with respect to how individuals interact with one another at a personal level. Hence that prevalence of Irish names among Australia's Aboriginal leaders. It was over 80 per cent at the time of the 1956 Olympics. This is no big deal. This is very much the Australian way.