Not a good example at all.
The Old Testament is vital to Christianity first of all.
And to Muslims, Muhammad was clarifying the message of Jesus because it had been obscured by centuries of changes done by “men” and “the church”. The teachings of Muhammad to them are the same as the teachings of Jesus. And of Moses, and Abraham.
They don’t see Mohammad as inherently more worthy than Jesus, or Moses or Abraham. They are all equally prophets. I mean they even see Jesus as more special than Mohammad in many ways cause like I said they believe in the virgin birth. They believe God literally made Jesus in Mary’s womb.
And there are PLENTY of Jesus quotes in the Quran. Like full on teachings of Jesus.
Muslims would say that the view that Jesus is literally God is one of the distortions in the Bible. That idea is actually pretty late, becoming orthodoxy only centuries after Jesus.
And the Old Testament is not recontextualized. It’s just the Torah. The idea that Jesus’ message was fundamentally different from Judaism is also a pretty late development. Something Muslims also say is a distortion of the Bible from the original message of Jesus.