Sure, but they come somewhat short of acknowledging Christ as the offspring of God.
They would easily accept Noah, as he was the father of Seth, from which many Muslims (and of course the Jews) derive.
True. They regard Jesus as a prophet, but they reject any claim of divinity. They consider all the prophets - including Mohammed - to be mortal. I believe the Koran does address Jesus as "the blessed one" and I think that has something to do with the virgin birth.
They do believe that in the Ascension, but they believe Jesus ascended to heaven as a mortal, where he lives to this day. They believe Jesus will return to earth during the end times to complete the remainder of his destiny on earth (and ultimately die as a mortal). BTW, they have their own version of Armageddon, where everyone dies. No rapture. They also believe in a Judgment Day.
They also reject the Christian doctrine of the "Trinity" - they regard it as a form of polytheism. I've got to confess, I have a hard time swallowing that one. Even at the age of 7 or 8, it sounded pretty fishy to me.
My Bible has Abraham as the father of Israel, as is claimed by Islam as well, through his two sons, Isaac and Ishmael.