The Qur'an has a story of a guy named Noah?
Yeah, it does. I think the main difference is that in the Qur'anic version Ham and his family refuse to get into the boat and therefore subsequently drown.
There is a very interesting dialogue which occurred in the latter part of the 19th century between a Baha'i scholar, Mirza Abu'l-Fadl and the head of the Ahmadiyya sect. The Ahmadi Caliph had asked about the story of Noah living 950 years as stated in the Qur'an is to be taken literally or if it has another meaning. Mirza Abu'l-Fadl gives a rather complicated response. He points out that the story of Noah in the Qur'an is based on the Biblical story (something Muslims generally would not like to admit.)
Mirza Abu'l-Fadl then turns his attention to examining the nature of the Bible. He points out that while parts of the Bible are clearly records of God's revelation (for instance the parts which begin "Thus speaketh the Lord") there are other parts which are historical accounts and other material which make no claims to being revealed. He points out that when we consider the historicity of the biblical accounts we must also compare them with other histories. In this context, he points out that the ancient histories of places like China
or India have no account of the flood. He even goes so far as to point out that Egyptian history does not substantiate the story of Moses or the drowning of Pharoah's army in the Red Sea.
However, that somewhat begs the questions because these stories are found in the Qur'an *all* of which is regarded as revelation. And here is where Mirza Abu'l-Fadl lays down a principle which I think is
essential to understanding the proper relationship between religion and science:
"The Prophet Muhammad said, "We, the concourse of Prophets, were commanded to address the people according to the capacity of their minds," and, likewise, "Speak to the people of that with which they
are familiar. Do you wish God and His Messenger to be accused of lying?" Thus was it related by the learned judge Muhammad ibn Ahmad Rushd al-Andalusí [Averroes] "It is well known that the Prophets and
Manifestations of the Cause of God were sent to guide the nations, to refine their characters, and to bring the people nearer to their Source and Ultimate Goal. They were not sent as historians, astronomers, philosophers, or natural scientists the Prophets indulged the people in regard to their historical notions, folk stories, and scientific principles and spoke to them according to these. They conversed with them as was appropriate to their audience and hid realities behind the curtain of allusion." (Miracles and Metaphors p. 39)"It has, then, been established that the historian cannot depend for historical knowledge upon the outward meanings of Qur'anic verses and that Noah and his like are not mentioned in the rest of the ancient histories." (p. 40)