The problem is: where will the line be drawn? What about Black Lives Matter? The more, uh, militant parts of the Antifa movement? Militant animal rights groups (which actually are treated as domestic terrorist groups in some countries!)? All advocate, tolerate or embrace violence in some degree, and as there has been the precedent case of Nazis getting banned, it's going to be difficult.
Of course one can say "we simply don't like Nazis, so we're stricter on them", and I'm fine with that, but I'm not sure if a new (or, for what it's worth, also current government) can't more or less force providers like Reddit (but also Cloudflare and the others who booted Daily Stormer off the net) to revive the "good old Red Scare"...
edit: to clarify, for BLM I don't mean that BLM promotes violence - but there are certainly supporters who believe violence or, in one case, murdering cops, being legitimate (https://en.wikipedia.org/wiki/2016_shooting_of_Dallas_police...). I don't like it myself that the right wing was able to frame BLM as "taking part in the murder", but that image is not going to be corrected soon.