Ok you asked what a clear reading would reveal, which is a fair question:
Peter is separated out and given a different role than the collective of the apostles. He alone receives the keys. He alone has his name changed by Christ, and to 'rock'. He alone is told that he is the rock upon which Christ will build his church. He alone is commissioned to shepherd after the resurrection, in the presence of the other apostles. He alone is acknowledged by the outside world as Christ's representative. Christ meets with Peter alone after the resurrection, and then the group. He alone is held accountable for the failings of the others. He alone is told to strengthen the others. We are given the details of Peter's denial only, even though all but John failed Christ. He alone hauls in the net of fish (that represents all the nations) when the collective group could not. We're told all this and then expected to believe he is merely seen by Christ as one of the twelve?
Merely one of the twelve? If so, why he is so often singled out, whereas the others are not?
First of all, let's start with defining "exhort," not via words of men as you have done, but as it's used in the Bible:
1) to call to one's side, call for, summon
2) to address, speak to, (call to, call upon), which may be done in the way of exhortation, entreaty, comfort, instruction, etc.
a) to admonish, exhort
b) to beg, entreat, beseech
1) to strive to appease by entreaty
c) to console, to encourage and strengthen by consolation, to comfort
1) to receive consolation, be comforted
d) to encourage, strengthen
e) exhorting and comforting and encouraging
f) to instruct, teach
Note the whole flavor of it is different than what you've been taught to conclude! Yet this does nothing to belittle Peter, nor to make him any
less important.
Peter was physically a big, powerful guy. This was at least half of leadership! The other Disciples had a margin of safety by allowing him to speak and/or act first, because if anybody would screw things all up, Peter would. And he did, time and time again. This
does qualify as being servant of all, and we
are to find encouragement in the extremes of his failings, yet the Lord never forsook him.
Now let's go to the issue of Jesus re-naming Peter. This was
very common practice at the time! And how did Saul of Tarsus come to be known as Paul? Next, the word "Rock" that Jesus builds His Church upon is not the same word used towards Peter. In fact
all of the things you list as being unique to Peter are given, and readily available, to ALL believers; i.e, "the communion of Saints." You know, that thing you believe in?
If any of us really understood the authority granted to the individual believer, our worlds would certainly turn upside down
If we pick apart your list a little, we'll see Peter didn't really "haul in all Nations," not nearly as much as Paul did. And while you'll likely consider this blasphemy, Pr televangelists for the past several decades reach WAY more people than Paul ever did, and not everything they say is devoid of Truth nor even the Holy Spirit. (Yes of course it would be better if there was complete purity)
Next, let's look at Scriptural pictures of the Church, and/or the Bride. We see it being built upon Jesus Christ, on the foundation that the Apostles laid. We see it having a wall with 12 foundations. We see it having 12 gates, each of which have the name of an Apostle.
We DON'T see Peter being singled out the way you've been taught to think! We see
each of us as being singled out as the lost coin of great price, the 1 lost sheep out of the flock of 100, and the Prodigal Son. And
since those pictures aren't nearly enough to express G-d's love and calling upon each of us, we see "the desire of all Nations" as asking
us, individually, to be His Bride. I could stack that with all the emoticons available and it wouldn't even come close to doing this concept justice ...
Let's note "the Disciple whom Jesus loved," and ask ourselves who was
ever humble in His Presence that wasn't made to feel that same way?
1 John 3:1 Behold, what manner of love the Father hath bestowed upon us, that we should be called the sons of God"