I would argue that Jesus, as Christ/Messiah is also a priest and prophet, thus fulfilling all of the various other prophecies about Him. He is these things and more: God’s decisive revelation of Himself to humanity, as well as one who redefines what humanity fundamentally is.

The reason why Christians have a tense relationship with the other “Abrahamic faiths” has to do with the understanding that Jesus is God. To deny Jesus’ divinity, from a Christian standpoint, is to define God apart from Jesus which is not consistent with Christian belief. The other problem comes from the idea (more or less later introduced into Christianity) that anyone who doesn’t believe in Jesus goes to Hell. This idea, so deeply held by many many Christians, actually misses what the gospel is all about: the minute Jesus forgives His murderers, He effectively declares that there’s no sin beyond His ability to forgive. Which means that all of humanity is forgiven, full stop.

Eastern (Orthodox) Christianity has a very interesting and different view: Hell and Heaven are the same place, just experienced differently—“Heaven” for those who love God on His terms, “Hell” for those who demand God behave on their terms. The basic idea there is that, in the end, most people will come face to face with Jesus and go “oh, it’s you! Cool!” and experience Heaven. But there are those who will see Him and still refuse (at least for a time—I believe that the scriptures are pretty clear that God is merciful and patient and that, given enough time, everyone winds up in “Heaven”).