Jim, fascist movements do not always have a racial component in their recipe for "setting things right". They may, and often have had such a racial bone to pick, but it is not necessarily a defining characteristic of fascism. You can have a fascist system without any racial issues coming to the fore. On the other hand, it is always a defining characteristic of fascists to, as you said, desire to "to rid the world of anybody who doesn't conform to their own beliefs".

However, that is also a defining feature of anyone at all who is aggressively exclusive about his beliefs and thereby intolerant of the beliefs of others.... ;-)

You don't have to be a fascist to want to rid the world of anyone who doesn't conform to your beliefs. You just have to be an intolerant, aggressive, opinionated, self-righteous extremist who thinks his way is the only right way, that's all. Among the ranks of such people are many...

Fascists
Anti-fascists
Communists
Socialists
Democrats
Republicans
Zionists
Jihadists
Black Panthers
Ku Klux Klan
Religious fanatics of EVERY religion imaginable
Political fanatics of every political movement imaginable
Racial fanatics of every race imaginable
Gender fanatics of either gender
Sex-role fanatics of any and all sex roles


Etc.

What I am saying here is that you can find extremely prejudiced and aggressive jerks in any social or political movement if you look hard enough for them...and they aren't very hard to find...because they are the ones who talk loudest and most often, and with the most righteous fury. They KNOW they are "right" and that others are "wrong". ;-D That's what makes them so dangerous.

It is the desire to make everyone "the same" that has covered the world in blood. That existed long before anyone ever heard of "fascism" (a movement founded by Mussolini).