Not in the least. At that, Freemasonry is banned in many Islamic countries.
http://www.freemasons-freemasonry.com/freemasonry-islamic-countries.html
The only Masonic lodges in the Middle East are in Israel and Lebanon (and I’m unsure of the fate of the latter in light of recent events.)
Perhaps mnhring could explain the Islamic symbols on the Shriner’s Fez? Crescent moon + star + sword looks very Islamic to me.
http://www.shrinersinternational.org/en/Shriners/History/Fez.aspx