Muslims aren’t Israelites, either. They trace their lineage to Ishmael, Abraham’s illegitimate son, rather than to Isaac, the father of Jacob/Israel.
Jesus was “King of the Jews.” He was of the tribe of Judah. (Technically, all the kings of the southern kingdom of Judah were “kings of the Jews” in their time, but I don’t think that’s what you meant.)
In the time of Jesus, Herod was a secular king of Judah, a Roman puppet. The taunt, “Are you the king of the Jews?” was both a sneer and an accusation of insurrection and treason.
Muslims are Israelis, and Muslims are not Jews.
I asked what "King of the Jews" meant to you. Do you really think of it as a "sneer and an accusation of insurrection and treason" ? Now when Jesus was born in Bethlehem of Judaea in the days of Herod the king, behold, there came wise men from the east to Jerusalem, Saying, Where is he that is born King of the Jews? for we have seen his star in the east, and are come to worship him. When Herod the king had heard these things, he was troubled, and all Jerusalem with him. And when he had gathered all the chief priests and scribes of the people together, he demanded of them where Christ should be born. And they said unto him, In Bethlehem of Judaea: for thus it is written by the prophet, And thou Bethlehem, in the land of Juda, art not the least among the princes of Juda: for out of thee shall come a Governor, that shall rule my people Israel.
Matthew, Catholic chapter two, Protestant verses one to six,
as authorized, but not authored, by King James,
boldness mine
All Israel are brethren.