No, Fascism was never far right, it's considered authoritarian center. That is their propaganda.

Fascism and Communism were both born from European Socialism. Mussolini was a hardcore socialist who's views on expanding socialism were radical enough for other socialists to reject him. The Nazi's didn't call themselves National Socialists for nothing.

The very definition of fascism is anti-right wing as it calls for a strong regimentation of the economy, which is the opposite of free market capitalism. They banned ownership of companies and guns to their opposition and the minorities they suppressed.