Jews Who Believe in Jesus

This is not such a foreign concept - that Jews should believe in Jesus.  He was a Jew, after all.  But in this context, "believe in Jesus" means they believe that he was/is the Messiah, sent by God to save humankind; that he was/is the son of God, the "Savior." This is a bit more problematic.  There are countless books professing to provide "proof" that Jesus of Nazareth is the Savior.  In fact, I have been sent such a book recently, quoting numerous entries in the Old Testament prophesying the coming of the Messiah, and describing him in exquisite detail.  The problem is that the Bible (Old and New Testaments) was "written" long after the fact, by people who did not witness the events of the day.  For example, the book "They Thought For Themselves" by Sid Roth quotes the Old Testament as proof that Jesus is The One.  This assumes (a) ... [incomplete - stay tuned].