It really isn't an either/or proposition; you're only taking the absolute extremes of the concepts. If it was such a proposition, where does the switch take place? At what point would a nation 'flip' from being 'socialist' to being 'capitalist'?
Canada (20% foreign-born) and New Zealand (25% foreign-born) are in similar boats. However, your statement is also pretty offensive to kiwis, of whom 15% are of Maori stock - indeed, the relatively harmonious relations are rightfully a source of pride to the kiwis. Both of these countries also deal in bilingual politics (Australia does not).
I'm less knowledgable on the makeup of the Nordic countries, but it's worth pointing out that only two western democracies have a higher rate of immigration than Australia (excluding the year of Syria crisis migration). These countries are Spain and Norway. As for Sweden (usually the go-to country for these discussions), looking now, and excluding the Syria crisis, 14% of Swedes were of foreign birth, equivalent to the US, and two-thirds of these were born outside the EU. While, yes, Sweden doesn't have the latino or black analogues in their national background like the US does, they're not as culturally homogenous as most people think.
In short, I think you're talking about the stereotypes in your head rather than the actual nations. Handwaving it away with "meh, they're all the same in those countries" is an egregious error - after all, if what you're suggesting was true, then Portugal and Ireland (95%+ local-born, single culture) would be powerhouses.
The countries with the highest quality of life are Social Democracies. Places like the nordic countries and the 'new world' anglo countries excluding the US.
It's bizarre just how much the US has demonised the concept of socialism in its political dialogue.