The Bible reflects a religious history that Muslims believe in.
However the Bible is a document that went through considerable editing over time. In fact the New Testament was written from eye-witness accounts at some remove from the actual events, there were multiple versions of the testaments around, and the current document is based on an authorized selection of such. This makes it subject to interpretation not just of what was purportedly said, but whether the words you see have been altered.
Now the Koran was dictated by Mohammed. There is no ambiguity, and no question.
Therefore when the accounts given in the Bible come into conflict with the accounts given by Mohammed of what really happened, all good Muslims believe that Mohammed's account is definitive.
That said, there is a specific resolution of the "son of God" issue. For that resolution in their own words, various links from [link|http://www.submission.org/jesus/|this page] may enlighten.
Cheers,
Ben