Uh, yeah: they are linked to each other. I even researched it for you: Fascism is the regime/ideology of anti-democracy. The state is absolute and totalitarian and all citizens must follow the state. Whether this applies just to a regime or also to an ideology advocating this form of regime, may be debatable.
National-Socialism or Nazism is a racist and antisemitic ideology which holds that the Aryan race is superior to all other races, and that the government must actively promote the perfect race.
Nazism tends to be fascist, but fascism is not necessarily national-socialist.
If your intention was to say that the protesters were fascists because they don't want to see people going and shouting death threats to Jews and other people that they deem inferior to them, then you are so wrong. Fighting ideology that endorses evil based on primitive hate is not fascist. People who try to tell you what to do with your body, whom to love are fascists.
