Islamic Marxism is about as Islamic as Marxist-Leninist Liberation Theology is Catholic or Protestant. In either case, the Communists were adapting the message of revolution to penetrate otherwise hostile cultures.
I am sure that neither of us believe that a Muslim who saws a Jewish American's head off (for being a Jew and being an American, in that order) chanting “Allah Akbar” is a “good Muslim”.
The relevant question is... Does the Muslim believe that by sawing a Jewish Americans head off while chanting “Allah Akbar” he is being a “good Muslim”. And the answer is YES. He does think it his religious duty to saw the heads off Jewish Americans while chanting “Allah Akbar”, and this is a COMMON current within Islamic thought, witness the words of one of the most famous and influential Islamic cleric of our age.
“To kill the Americans and their allies — civilians and military — is an individual duty for every Muslim who can do it in any country in which it is possible to do it, in order to liberate the al-Aqsa Mosque [Jerusalem] and the holy mosque [Mecca] from their grip, and in order for their armies to move out of all the lands of Islam, defeated and unable to threaten any Muslim.”
Osama bin Laden