I'm pretty familiar with the European New Right, as not innocent and cute as that is...
It's because of things like black metal, folk metal, neofolk, and martial industrial. And people like Julius Evola and Troy Southgate.
If you haven't heard of them... Julius Evola was a super male supremacist who didn't like the modern world and wanted to ethnic pride and hypermasculnity. And he believed that all religions had some spiritual truth. And Troy Southgate is a white nationalist who believes that there shouldn't be a state, so he identifies as an Anarchist. But he also believes that white people should use being stateless to separate themselves from other races.
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H.E.R.R.'s music albums are really pretty things about European culture. It's sad that one one made an album about Vondel's Lucifer like that. But anyone could do that, no matter what their race or ethnicity is. Japan makes RPGs and other video games about ancient European culture all the time. And Japanese RPGs romanticize European culture every bit as much as neofolk. And they make military bombastic music and games, too. Like Valkyria Chronicles.
I know I'm a bit late, one point of your post was already addressed and it's probably not strictly on topic, but... Reading a post discussing Evola, certain music genres and H.E.R.R. is the last thing I expected of this thread. Heh. So here goes a rather long text about what I never expected to discuss on NeoGAF...
As others have already said, they are all far away from the European "mainstream" right-wing. For a start, they are far too out there regarding their ideas and ideologies this is nothing that could appeal to a larger public.
But I actually wanted to discuss the other things you said, which haven't been addressed by others yet (which really doesn't surprise me)... I don't really know what you mean with your second sentence. Do you claim Black and Folk Metal as well as Neofolk and Martial Industrial are
intrinsically right-wing? Because none of these genres are. I'd even say there's
far more non-political or not-right-wing-political stuff in each of them than the things you describe. Beside the fact that Black Metal, Folk Metal and Neofolk/Martial Industrial are all pretty separated of each other, especially culturally. Only the latter two share a lot of common ground.
True, Evola is a bit "famous" in Neofolk/Martial circles, but I'd argue that just because someone devotes their time to him it doesn't necessarily mean they
agree with his ideas. Neofolk/Martial bands tend to obscure the "true meanings" of their songs (if there even are "true" meanings), and there certainly are quite a bunch of rather "unpleasant" bands, but I don't think marking every band in these genres as right-wing is fair.
It's also true that there are a fair share of xenophobic, racist or even Neo-Nazis (I mean, National Socialist Black Metal
is a thing), but the overwhelming majority of Black/Folk Metal bands aren't.
As for H.E.R.R... well, the music's quite good (not really great in my opinion, but good), but again, I don't really understand what you're saying about them... I mean, Troy Southgate is an active member. I wouldn't say the single album you mentioned is their sole problem. "The Winter of Constantinople" does have its share of rather not-so-nice ideas and their name literally means "Holy Europe! Roman Empire".
Which leaves the question whether one should actually listen to music by people supporting the ideas you mentioned. There's also music that's decidedly non-political, but still made by people who even describe themselves as racists (i.e., Burzum and Varg Vikernes).
As to your last point: I disagree to some extend. I think it tremendously helps if you're actually living in the culture you're dealing with. An outsider's perspective can be refreshing and something different, yes, but very, very rarely the same as an insider's perspective. I don't mean necessarily better or worse, but definitely different.
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Actually on topic: In a certain way I guess these political movements were always there, they just had different targets in the past. Heck, in Germany, there were protests by "concerned residents" against refugees from the GDR against people from
the same nationality, even in the minds of the protesters. The arguments, btw., were mostly the same. Don't work, can't integrate and so on and so forth.
As for fears of the "Islamisation" of Europe: I mean, to a certain extent there's really little that can be done. What do you say if someone's convinced "Sharia" will be the basis of German law in 20 years? What would be the basis of a discussion? I can't really think of one.