There is no "Biblical narrative." The Bible consists of numerous books written over a vast span of time, evolving cultural and religious contexts, and reflect the often conflicting points of view of their authors, and whatever agenda under which the whole was being edited at the time. There isn't even a single canonical "Christian" Bible - Catholics have one version, Orthodox have another, Protestants have another.
What you're describing is a Christian reinterpretation of the Old Testament employed to justify the argument that Jesus was the Jewish messiah, which is a Biblical narrative, but only one of many, and not one that Jews particularly care about, or that Muslims entirely agree with for that matter.
