I am afraid that you are mixing up some things.
See, leadership and succession are two different things.
AVZ you're really messing with me here. I am writing clearly in English and you are interpreting it like its written in another language. I never once confused leadership with succession. In point of fact I said "the current Pope Francis as the
successor of St. Peter inherits his (St. Peter's)
leadership."
You quoted this from me in yet you make the accusation above. I am not equating the two succession and leadership. I said that that one (leadership) comes to us today through the continued act of the other (succession). Basically the Pope is Head Bishop In Charge because he succeeds St. Peter who was the Head Apostle In Charge.
Peter could only be a successor if Jesus was dead...but He is not. He is alive.
That's why the order of Melchizedek is not one of succession.
No that's not correct. Peter wasn't a successor he was a representative. Remember "physical presence"? Christ is physically in Heaven and so He appoint physical representatives to act in His physical absence. This the point of the Church. We are not just the saved but the minsters to the world as well. Why? Because is not physically here. It is our job to be his hands and feet. Likewise it was the Apostles' job to be the physical leadership while our Lord is physically absent.
Death is not necessary and actually if Christ were dead representation would be impossible as you can't represent a person who doesn't exist anymore.
That's why the Order of Melchizedek is successive.
The rest of your points are irrelevant at the point and I don't think we'll get anywhere if we keep jumping from thought to thought. We are no longer arguing whether or not the priesthood is of Levi because we can agree that it is of Melchizedek. We are no longer arguing representation because we agree that representation was indeed what the Apostles were. We are no longer arguing for St. Peter's leadership because we agree that he was in fact the leader of the Apostles.
No we are arguing succession. This is the point now. Apart from Matthias selection in Acts, which seems to me more than conclusive, you now have other evidence supporting succession to address.
God Bless