It's not even a fascism. It is baboonery.
I can't recollect the name but someone in the American Enterprise Institute said that in Marxism or Communism the state owns all the means of production and eliminates private ownership and profit; but in fascism private ownership and profit are allowed PROVIDED they fully serve the ideology of the state.
By those criteria I'd say they're fascists AND Marxists, although they hate Marxism for religious reasons. Hey! I think I've got a new term: "Islamofascomarxists".