The bible was written who were divinely inspired the same way Muhammad was divinely inspired by Allah. I mean, the Quran was compiled by men (corruptible men).
Also, how do you explain the satanic verses? The ones that Iblis tricked Muhammad to recite and ended up in the Quran?
The Quran was written by the companions of the prophet (saws) in his time, a process which he himself oversaw. He would recite the words to them and they would write it in his presence whereafter he would personally inspect it and make sure it was accurately written. The companions were not divinely inspired and didn't need to be as the prophet was already in their presence. The Quran is also, unlike other scriptures, preserved in the minds of the Muslims which means that in case all the manuscripts were to be destroyed we would easily be able recreate the manuscripts at any moment. This is why it remains unchanged even after 1400 years, letter by letter. The words we recite today are the same as the prophet recited in his time to his people, fulfilling the verse and miracle of Allah to protect this message.
The words of Jesus were never documented by his companions during his life - there is no proof to suggest it anyway - what we have though are thousands of manuscripts discovered at different times, the earliest of which are, if I remember correctly, from at least 400 years after Jesus's time. It's also worth mentioning that not one of these thousands of manuscripts are the same, they all contradict one another, many of them even in major doctrinal areas such as the Trinity and Jesus's death. Some of the authors claimed to be inspired, but not all of them some of them admitted they were seeking fame and recognition others were motivated by money and political influence, it's very interesting.
Look up Bart Ehrman, professor in this field he's written some interesting works on the subject.
Hope the difference is clear.
Concerning what you said about the "satanic verses" it's really only something which is claimed by Christian apologetics and has no basis in Islamic tradition.