"They don't like it that the Pope is the Leader of Worldwide Christianity, but deep down they know its true."
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This is one of the most glaring flaws in your church.
The real leader of the Christian world is JESUS CHRIST.
Oh, you got me there didn't you! Leader of the Christian World among solely human men. Hows that? I almost left out the solely, but I knew you would skewer me over Jesus being Fully Human and Fully Divine. You'll probably find something else to nitpick. Get Thee Behind Me!
From Quas Primas (Pope Pius XI)
It was surely right, then, in view of the common teaching of the sacred books, that the Catholic Church, which is the kingdom of Christ on earth, destined to be spread among all men and all nations, should with every token of veneration salute her Author and Founder in her annual liturgy as King and Lord, and as King of Kings....
It would be a grave error, on the other hand, to say that Christ has no authority whatever in civil affairs, since, by virtue of the absolute empire over all creatures committed to him by the Father, all things are in his power....
When once men recognize, both in private and in public life, that Christ is King, society will at last receive the great blessings of real liberty, well-ordered discipline, peace and harmony. Our Lord's regal office invests the human authority of princes and rulers with a religious significance; it ennobles the citizen's duty of obedience....
Mat 16:18 And I tell you, you are Peter, and on this rock I will build my church, and the powers of death shall not prevail against it.
Mat 16:19 I will give you the keys of the kingdom of heaven, and whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven."
Isa 22:20 In that day I will call my servant Eli'akim the son of Hilki'ah,
Isa 22:21 and I will clothe him with your robe, and will bind your girdle on him, and will commit your authority to his hand; and he shall be a father to the inhabitants of Jerusalem and to the house of Judah.
Isa 22:22 And I will place on his shoulder the key of the house of David; he shall open, and none shall shut; and he shall shut, and none shall open.
...and, from succession (cf Acts 1), Peter's successors.
and that's all there is to that!