If Jews are the Chosen people of the Christian faith then why don't Jews believe in the divinity Of Jesus?

From the Christian perspective the Bible clearly states that the Jews are the chosen people and Jesus himself is said to be a Jew. What seems perplexing is that the main religion of the Jews in the world is Judaism which of course has it’s own set of beliefs and doesn’t accept Jesus as the messiah.
The question is, why the chosen people according to the Christian faith are the Jews and yet they don’t even share the basic beliefs of Christians? This brings up a few additional
questions. Christians believe that only by accepting Christ can an individual be saved. Does this mean that the overwhelming majority of Jews, God’s chosen people, will not be saved? Also, doesn’t it seem very strange that God’s chosen people, according to Christianity, aren’t even believers in the Christian faith?