The social policies are not a core component of fascism. They're a blend of fascism ans socialism. The Fascists were Italian, not German. The Germans were Nazis.
But you are right in that in Fascism the government is the dominant party even though working hand-in-glove with the corporations. Also that as time went on the Fascists adopted many of the policies of the Nazis (and, to a lesser extent, conversely).
That said, Mussolini didn't really like violence, he just considered his ends important enough to justify it.
Then there's Spain. Spain was also called Fascist, and under Franco and I don't know of any other reasonable term for it, but in effect it appears to have been mainly a dictatorship. I can't really take their claims of Syndicalism seriously. But, again, there the government was the dominant party (or, more precisely, the dictator was the dominant party).