The funny thing is, the Kiwi's are far more Anglophiled than Australia is. They didn't have the post war Continental European migration that Australia had and therefore are very much more British in their heritage and in many ways outlook. Hell, due to the rainfall, scenically, NZ even looks like the UK.
NZ are exponentially more in tune with their indigenous roots and autonomy, however, compared to Australia. So they have that going for them.
NZ like Australia have about 1/4 of their population born O's. After WWII they had a big immigration intake, they took Greeks, Italian, Yugoslavs but in not as bigger numbers as Oz and went for northern Europeans. There was some immigration deal with the Netherlands government - I think it tied in with all those Dutch who were involved with Indonesia and the Pacific but also immigrates from the Netherlands. They also went for more Austrians, Danes, Swiz, Germans, Polish etc than Oz did. So their immigrants physically blended in more with the British base of their population. Plus Maori's made up 10-15% of their population post war whereas Oz Aboriginies have been in the 2-4% in post WWII years and weren't officially counted in the census before 1967.
The two big difference with NZ and Oz immigration, they have a lot bigger % of Scots in their British Isles intake, and as the Maori influence and reintergration into the main stream culture in the late 1960's and 1970's happened they started having a preference towards Pacific Island countries migration - Samoa, Tongo, Fiji, Solomon Islands, etc into their intake.