You don’t get it, do you? Muslims certainly don’t believe everything that the Jews believe, or that the Jews are right about everything.
The main argument here - why use the term Messiah (Christ) at all for Jesus?
It is not his name. His name is Jesus. When you use Christ for Jesus you would also have to accept its connotation as well.
Does Islam accept Jews’ understanding of Messiah? or
Does Islam accept Christians’ understanding of Messiah?
If Islam does not accept both then it has to define its own term for Messiah if it wants to use it. So the logical conclusion is, since Islam does not agree with both Jews’ and Christians’ definition, and it does not define its own definition but still use the term Messiah, then it shows that Islam does not know what the term Messiah means and entails.
Other than this, we are merely trying to look for something that is not there in Islam.
Note:
As been mentioned and explained, Messiah ( the Anointed) as a word does not mean the Son of God. In Jews context the Messiah is a ruler of Jews sent by God to deliver them from the enemy. As God’s anointed ruler, he is responsible for Jews’ glory and safety.
In Christian’s context the Messiah is Jesus. He too is ruler of Christians sent by God to deliver them from the enemy (sin). As God’s anointed ruler, he is responsible for Christians’ glory and safety but not in term of the physical world but spiritually. The clincher is that the Messiah is God himself who came in human flesh to fulfill the prophecies in the OT. One being in Ezekiel 34: - 'I, Myself will take care of my sheep … '. This makes the Messiah the Son of God, the second person of the Trinity.
I think that should explain it clearly to non-Christians.