It is apparant from scripture that Jesus never intended to have one person as the ultimate authority on earth.
First, in the old testament God says that He did not want Israel to have a king over them but to be ruled by a council of twelve tribes. However, Israel wanted to be like other nations so He gave them a king. The precedent is carried through in selecting 12 apostles. We see much more scriptural evidence to the council ruling with the help of the Holy Spirit. Acts would be a great place to cement the one ruler doctrine but it never does, it shows just the opposite.
The Roman bishop ruler is something that took place after the first century. Since Rome was the center of Jewish activity after the diaspora, it is possible that the jewish christians set this up because of their phariseeical roots and training.
I would say your points are completely nullified by what Jesus actually said in the Gospels: Here’s Matthew 16: where Jesus commissions Peter as head of the church
15 He said to them, “But who do you say that I am?”
16 Simon Peter said in reply, “You are the Messiah, the Son of the living God.”
17 Jesus said to him in reply, “Blessed are you, Simon son of Jonah. For flesh and blood has not revealed this to you, but my heavenly Father.
18 And so I say to you, you are Peter, and upon this rock I will build my church, and the gates of the netherworld shall not prevail against it.
19 I will give you the keys to the kingdom of heaven. Whatever you bind on earth shall be bound in heaven; and whatever you loose on earth shall be loosed in heaven.”
And Luke 22: where he explains Leadership to the apostles and then tells Peter to lead
24 Then an argument broke out among them about which of them should be regarded as the greatest.
25 He said to them, "The kings of the Gentiles lord it over them and those in authority over them are addressed as ‘Benefactors’;
26 but among you it shall not be so. Rather, let the greatest among you be as the youngest, and the leader as the servant.
27 For who is greater: the one seated at table or the one who serves? Is it not the one seated at table? I am among you as the one who serves.
28 It is you who have stood by me in my trials;
29 and I confer a kingdom on you, just as my Father has conferred one on me,
30 that you may eat and drink at my table in my kingdom; and you will sit on thrones judging the twelve tribes of Israel.
31 “Simon, Simon, behold Satan has demanded to sift all of you like wheat,
32 but I have prayed that your own faith may not fail; and once you have turned back, you must strengthen your brothers.”
And John 21, where the Good Shepherd turns over the flock to Peter:
15 When they had finished breakfast, Jesus said to Simon Peter, “Simon, son of John, do you love me more than these?” He said to him, “Yes, Lord, you know that I love you.” He said to him, “Feed my lambs.”
16 He then said to him a second time, “Simon, son of John, do you love me?” He said to him, “Yes, Lord, you know that I love you.” He said to him, “Tend my sheep.”
17 He said to him the third time, “Simon, son of John, do you love me?” Peter was distressed that he had said to him a third time, “Do you love me?” and he said to him, “Lord, you know everything; you know that I love you.” (Jesus) said to him, "Feed my sheep.