Let me suggest that one of the reasons OUR Muslim "allies" have remained somewhat supportive is that our system, while free, is nevertheless more conservative than the Euros, and we respect religion (I know, it's getting harder---but not like Europe). Moreover, as one Muslim student told me, they respect POWER, and both Reagan and Bush 41 gained tremendous respect in the Muslim world by demonstrating power. This is something the Euros simply cannot do.
And plenty of Islamic dictators had close ties with the USSR. Libya, Syria, the PLO was a communist organization, Iraq of course; Iran and the lefties of france are good friends. Not a one of the ME countries said "boo" about their oppressed brothers inside the USSR.
Right now we speak of the Arab world as if they were a united force. The truth is that they hate the west more then they hate the Marxists and they hate the Marxists more then they hate each other. If we all vanished they would quickly declare war on each other.
Afghanistan is proof of this, the combined forces of Islam and Communism threw out The West and then they turned on each other and the USSR was thrown out and then they began to war with each other.