Fascism is synonymous in many minds with National Socialism. Its roots were to to counter a middle-class fear of domination by the lower classes. Forerunners were Geoage Boulanger in France and Karl Lueger in Germany, appealing to nationalism and anti-Semitism. Fascism stressed law and order and the protection of private property from communists and other mass movements. The prime enemy was the Bolsheviks, redistributors of land and wealth.
Fascism was not merely the province of the Nazis under Hitler, starting in 1933. Italy started Fascism in 1922, as Mussolini saved the country from anarchy and communism and was its most famous symbol until the end of the war. Spain under Francisco Franco also was fascist long before Hitler made Germany a fascist regime. A common thread was militaristic nationalism, making the people feel proud and strong, and the economic impacts of rapid military build-ups transformed the poverty after the first World War. Social progress, rather than by expropriation, was a matter of massive building projects, financed by centralization of all control of private industry in the State, increasing reliance on slave or near-slave labor, and then ultimately by military takeover of the wealth of neighboring countries.
And Fascism moved on after the War, first through the Nazi diaspora to South America. There the prospect of Law and Order for the middle class was similarly intoxicating, and Fascists were elected repeatedly, especially in Argentina.
And Fascism moved on to the Middle East via the Muslim regiments that Hitler had organized with the leaders in Turkey and Egypt. Many Iraqi Sunnis such as Saddam Hussein were Baathists, Islamo-Nazis in a formal, historical way. Al-Banna of the Muslim Brotherhood Ikhwan Muslim Brotherhood Project CAIR and Hamas all have people who were previously involved with Fascism. Baathists were neutralized in Iraq, but continue in power in Syria.
Hitler and Islam Muslim SS Generals worked with the Grand Mufti of Jerusalem (who was also present as Captain in Ottoman Turkish Army at Assyrian/Armenian massacres). Many of these lived after the War to aid Carter in returning Ayatollah Khomeini to Iran after serving as SS General for Hitler in Balkans in WWII)
Hitler only wrote Mein Kampf after studying Islam with his Egyptian acquaintances. Jihadi (Mein Kampf) is the most popular book in the ME today.