Ehh. I suppose. Who cares what was started/ why? I mean the violent riots started before The "BLM" movement. It was a reaction to racism ? Hmmm. Perhaps , but that's a moot point. As you said, extremeists are extremists. The disturbing narrative blm, antifa and the like push these days is abhorrent.
That being said , absolutely nazis are scum. Trash. Vile human beings. I condem them all day every day, and pretty much any other rational "right winger " (I don't even consider myself "right wing" but whatever ) would condemn them as well.
That being said, while still important, and still something that absolutely needs to be addressed and dealt with... the "neo nazis" and pretty much any belief / thinking that they hold is NOT shared by pretty much any (most ) basic conservatives/ republicans / moderates. However , you're (it's everywhere ... not just obscure newspapers ) seeing many of The blm/ antifa beliefs sprinkle down into general society. As I said before , schools , grade schools , colleges , major companies , ... are Starting to run with and push the whole "anti white" rhetoric.
I'm not some huge conspiracy theorist but if you can't see the seeds of "hate/ mistrust whitey" being planted now then I only have to assume you deliberately choose to ignore stone cold facts. And this seems to be the case with more and more people these days , which is incredibly troubling.