Erin Maxfield wrote:
3.) It has been said, even by members of this board, that Muslims eternally have much more in common with Jews than Christians ever will. . . .--how can they possibly be considered noachide?
Muslims may or may not be Noahides -- there is debate on the topic.

The Rambam (Maimonides) stated that while Christians are idolaters, Muslims are not.  , R' Gerondi (14th century CE) believed that because Muslims bowed  to Mohammad and this is idolatry -- thus stating that Muslims ARE idolaters. . .

Noah is seen as a "lawgiver" by Muslims.   The seven Noahide mitzvot are all found in the Koran. 

Conclusion?   The topic is an open one.     Yet, a Jew can enter a Mosque but is forbidden from entering a church.  It is clear that Christianity is idolatry.  Islam is not so clearly idolatry. . .

סופי

And everything that Sarah tells you, listen to her voice. Bereshit (Genesis) 21:12