i dont think Muslims dispute the idea that Bible is God's word. However, the inaccuracies in it are a result of the numerous scribes inserting their own words, knowingly and unknowingly, into the scripture.
Merely the fact that many people are responsible for transmission and publication is not proof of divine status in its entirety. For example, Homer's poems were not written down for centuries, and many passages have doubt about who wrote what, whether or not they are indeed Homer's words. I think this is the nature of doubt Muslism have about the Bible.
There are no inaccuracies in the bible, that's not true. This can be proven by the dead sea scrolls. They compared the dead sea scrolls to the currently used manuscripts and they matched perfectly. The dead sea scrolls were 1,500 years older than the oldest existing manuscripts and yet they still matched without ANY errors. The only differences found were in the spelling of certain words that still meant the same thing. These differences were merely the result of cultural changes in the way that they spell certain words. God's word (the bible) has been preserved.