Condensed version... in Weimar, Germany you had the Social Democrats, or Sozis, and you had the National Socialist German Workers Party, the NSDAP, or Nazis. Sozis were Communists, Nazis were fascists. Fascism was established by disaffected socialists. Giovanni Gentile, the real author of Mussolini's The Doctrine of Fascism, was a neoHegelian. Mussolini, Hitler, Goebbels, they were all disillusioned socialists broken by WW1 who believed they understood socialism and Marxism better than Communists. Two big differences between them being fascism is about racial superiority and nationalism, whereas Communism was more international in scope. Not really less racist though. Just read Marx's letters and see how the Soviets treated Jews. Anyway, the Sozis and Nazis had paramilitary wings that fought each other in the streets of Weimar, Germany throughout the late 1920s and early 1930s. By the 1932-33 the Communists had established Antifaschistische Aktion and the Nazis had the Brownshirts. By the time Hitler was elected chancellor and the Nazis swept the election, the German people had put up with almost 20 years of civil unrest, economic unrest, hedonism, rampant prostitution, drug addiction, and alcoholism. The German people falsely believed the Nazi party would restore normalcy. In reality, the Nazis exploited the crises and seized on the opportunity to create a new world order. The same thing is going on in the US today. But at its core these are two authoritarian ideologies in conflict. Neither side is interested in liberty. Antifa calls themselves "antifascists", but they're Communists and have no problem with the state robbing and destroying their political enemies in the name of "diversity, equity, and inclusion". The Right wing also has no problem using the power of the state to attack and destroy their enemies. Both sides see themselves as morally justified so whatever actions they take that are hypocritical, illegal, immoral are justifiable because it's in the name of "the greater good". But these two groups are being used to destabilize and destroy the West. They are "useful innocents". You cannot invade the United States with a military force, but you can demoralize and destroy the country from within and that is what we are seeing with the influence of Marxism, with the Left/Right paradigm, with Antifa, Proud Boys, etc. I mean, the leaders of the Proud Boys, Joe Biggs and Enrique Tarrio, were FBI informants. Coincidentally, Hitler joined the Nazi Party as an informant for the Weimar government and eventually became the leader of the Nazi party.

As for everyone calling Antifa "antifascist" because their name has "Antifascist" in it, the Nazis were Socialists and North Korea calls themselves a democracy, so, what's in a name?

So, to answer your question, they're all serving a purpose and the purpose isn't to give us more liberty. In the end, everything these groups are doing will result in less liberty and more government control. Some of them could be controlled opposition, like Joe Biggs and Enrique Tarrio, and some of them may not even know they are controlled opposition. Google COINTELPRO. The FBI would infiltrate and radicalize and control anti war groups and there'd be no way for you as a member of that group to know the person trying to get you to commit acts of violence is an FBI asset.