But Fascism by the Italian definition is Corporations working together to run the government. As they are the holders of jobs, money, and power they have a say. Mussolini said that Fascist should be called Corporationism. So calling it left leaning is hard as it is secure in the economy and big business which is traditional right side leaning.
I believe that there is some question as to if Mussolini really said that about Corporatism. There is some indication that he may never have said that. Also corporatism, in its historical context, and are not directly linked with corporations (ie. businesses).
From wikipedia:
Historically, corporatism (Italian: corporativismo) refers to a political or economic system in which power is held by civic assemblies that represent economic, industrial, agrarian, social, cultural, and/or professional groups. These civic assemblies are known as corporations (not the same as the legally incorporated business entities known as corporations, though some are such). Corporations are unelected bodies with an internal hierarchy; their purpose is to exert control over the social and economic life of their respective areas. Thus, for example, a steel corporation would be a cartel composed of all the business leaders in the steel industry, coming together to discuss a common policy on prices and wages. When the political and economic power of a country rests in the hands of such groups, then a corporatist system is in place.
However, I will grant you that I would consider the US, in general, may be tipping towards a form of corporatism with the repeated mergers of airlines, banks, etc.