You just made a claim, you said you can reason it, but you didn't proceed to do so. Please do.
Well, the God of the bible proclaims Jesus as the Son of God, and the Son of Man.
Islam says Jesus is a prophet, and if one says He is the Son of God, they will go to hell...hmmm
So Allah does not beget, and Allah is not a Father.
In the bible, Jesus is the Savior, and only through Him, can "any" man have eternal salvation.
In Islam, Allah will judge muslims according to their deeds, and Allah has the final say who will be saved or not (in other words, no guarantee). As for the rest of us, well, Sura 2:62 and 5:69 say "Yes", Sura 5:72 (just 3 verses later) and 3:85 say "No".
God of the bible is One God, yet 3 distinct persons, in the Father, Son and the Holy Spirit, (like the Sun for example)
Allah is just one God, which then one would ask, where did love come from, if Allah didn't have anything to love before creation.
In the bible, all the prophets and prophecies pointed to Jesus.
There is no prophecies about the messenger of Islam, accept for his self claimed prophecy, based on the below hadith
Bukhari 9.111 - He used to go to a secluded cave.
The angel came to him in it and asked him to read. The Prophet replied, "I do not know how to read." (The Prophet added), "The angel caught me (forcefully) and pressed me so hard that I could not bear it anymore. He then released me and again asked me to read, and I replied, "I do not know how to read," whereupon he caught me again and pressed me a second time till I could not bear it anymore. He then released me and asked me again to read, but again I replied, "I do not know how to read (or, what shall I read?)." Thereupon he caught me for the third time and pressed me and then released me and said, "Read: In the Name of your Lord, Who has created (all that exists). Has created man from a clot. Read and Your Lord is Most Generous...up to..... ..that which he knew not." (96.15)
Prophet became so sad as we have heard that he intended several times to throw himself from the tops of high mountains and every time he went up the top of a mountain in order to throw himself down, Gabriel would appear before him and say, "O Muhammad! You are indeed Allah's Apostle in truth"
So finally, this angel first appeared to people in the bible, yet none of them were terrified, since the angel told them not to be afraid, because he came with glad tidings from the Lord. "Mary is the first one that comes to mind". No one was pressed forcefully, so it's different angels obviously.
Also consider that the messenger appeared some 600 years after Christ.
One last thing, Allah affirms the old and new testament, and says no one can corrupt his words.
If that was the case, why then did he need a third book?