Australia has a reputation (at least here) for being pretty freakin' racist, but more on a cultural/institutional level than thug violence (which does happen but as an outsider feels like it pales in comparison to the states' behaviour) or the sheer volume of casual but non physical racism.
It'd be hard for me to unpick how much of it's just aussie c**ts being aussie c**ts and how much could be codified as a "rise" of modern day white supremacy.
I'm sure our local ockers can comment.
In NZ, there's been a small but obnoxious community of skinheads, neo-nazis and white supremacists for decades, who commit low level offenses ("minor" hatecrimes and gang shit) and of late, post nasty things on comments sections online.
I actually know a number of said people (some current, some former) from playing at/attending metal gigs, but their numbers don't seem to be increasing. There's no way to count people who act and dress normal but are radicalised online.
Other than that, NZ is generally seen as left leaning and hyper-tolerant and while there's always exceptions, that stereotype is definitely based in reality.