As a Muslim I believe that Jesus (peace be upon him) did not claim divinity, and yes using parts of the Bible to prove the Qur’an or vice versa is inconsistent, because that will be cherry picking.
In Islam we believe that Jesus (peace be upon him) is a messenger of Allah ( glorified and exalted be He ), not only a Prophet, as was David and Moses (peace be upon them) and they were all given a revelation and a Book.
As was stated in another post, the Gospel of John and others were written by men inspired by the Holy Spirit, Books which Muslims do not believe in, and men who chose what is in the Canon and what is not.
This is what we believe:
Surah Al-Maida 5:77
Say: "O People of the Book! exceed not in your religion the bounds (of what is proper), trespassing beyond the truth, nor follow the vain desires of people who went wrong in times gone by, - who misled many, and strayed (themselves) from the even Way.
Are you referring to the Original sin?
I can give you verses from the Gospels indicating Jesus’ Divinity and shows that Jesus is God in flesh…
John 1:1
In the beginning was the Word, and the Word was with God, and the Word was God
John 1:14
And the Word became flesh and made his dwelling among us, and we saw his glory, the glory as of the Father’s only Son, full of grace and truth
John 8:24
That is why I told you that you will die in your sins. For if you do not believe that I AM,you will die in your sins.
John 8:58
Jesus said to them, “Amen, amen, I say to you, before Abraham came to be, I AM.”
John 10:30-33
The Father and I are one.”
The Jews again picked up rocks to stone him.
Jesus answered them, “I have shown you many good works from my Father. For which of these are you trying to stone me?”
The Jews answered him, “We are not stoning you for a good work but for blasphemy. You, a man, are making yourself God.
I question why you are here since ( as you said ) “As was stated in another post, the Gospel of John and others were written by men inspired by the Holy Spirit, Books which Muslims do not believe in,”
This doesn’t sound like open dialogue but more of a one sided argument