The Post-Apocalyptic Roadmap/New Zealand

The NZ in ANZUS doesn't really count anymore. Apart from us having barely any military to speak of aside from peacekeeping forces (which means we'd probably be ignored except as a possible staging ground to invade Australia), the US isn't a military ally ever since we pulled the finger at them in the late 80s.

TL;DR New Zealand would be ignored in a nuclear holocaust except possibly out of spite, the US might throw a nuke our way or an Asian country may remember how much we rip them off at our tourist destinations.