He's got a point though, I mean there are a lot of definitions of fascism on offer, but neither Mussolini nor any serious academic commentator I can think of has said that 'bullying is the essence of fascism'
When you strip away all the intellectual fluff of fascism, force lies at its center. The most cogent definition of fascism I've seen is FORCED UNITY. I.e. deviants are not tolerated, everyone has to march to the same beat (whatever that beat may be). Socialists do not tolerate social deviants. Socialists come in two variations 1) leftwing socialists who believe that everyone are born the same way and that any unequality in society must therefore be the result of oppression. 2) rightwing socialists who accept that some are born smarter and some are born less smart, which results in social inequality. They accept this as true, but just don't like it and want to rid society of the deviants.
In practice both leftwing and rightwing socialists end up with the same politics aimed at reducing social inequality.
As a tolerant person I accept that people are born different and that they choose to be different. So I am tolerant to all forms of peaceful deviants: gays, different races, smart people, less smart people, rich people, poor people. Fascists generally speaking refuse to tolerate some kind of group of deviants. Socialists refuse to accept material deviants. Not all socialists are as extreme though. Stalin and Hitler through the deviants into concentration camps, whereas moderate socialists are satisfied with a mild form of concentration camp for the able in the form of high taxes and strict regulations.