As to the first part, Jerusalem belongs to whoever has it. The Jews lost it to Rome. The caliphates conquered it. The the Latin Kingdom had it. Then the Ottomans took it and lost it to the British. Then Israel and Jordan had it. Then Israel had it.
I really don't care who has it. While it may be holy to Judaism, Islam and Catholicism and Orthodoxy, it has no particular claim on my faith. The Church of the Holy Sepulchre has a better claim to being the site of Christ's tomb than the Garden Tomb, but it really doesn't matter to me which — or neither — is correct. I don't do pilgrimages and believe that the only holy ground is that upon which we fall on our knees before God. I am bemused by all the so-called "Evangelicals" (including Baptists) who make "pilgrimages' to the "Holy Land" in imitation of the Latin Rite folks.
As to the pope's concern about where the capital is — he's just playing the diplomatic game he's expected to. Can't we all just get along? Not in Jerusalem. Too much history, too much passion. Most of it irrational, but there it is. Sometimes you need to remember that rationality has little to do with human interaction.
Now, as to "lead us into temptation" — Wilbur Pickering, a modern defender of the Traditional Text of the New Testament (but not a KJV-only guy) renders Matthew 6:13 as "And do not bring us into testing, but rescue us from the evil one." Something to think about.