Many religions are unbending in their dictates and there is nothing wrong with that. As far as I know, there is no religion based on democratic principles. So would you call someone in the west who believes in "moral absolutes" a fascist?
Fascism is a convenient negative term to describe a negative phenom., but it's not accurate and doesn't do anything to increase our understanding of either radical islam or fascism's place in world history, i.e. WWII.
If you mean that fascism is not limited to one religious group, that's fine, but fascism is readily adopted by many religious groups.
My own religion believes in democratic governemnt, freedom and civil rihts. Islam, in general, believe sin authoritarian government, the leadership principal (which means no freedom), and no rights but those authorized within the umma by the ulemma (which means, in general, no civil rights and strict adherence to the grosser stupidities in the Sharia).
Islam is essentially fascism with prayer.