You seem to have overlooked or forgotten the following case in Acts 15 (two cases, actually):
1 And certain men which came down from Judaea taught the brethren, and said, Except ye be circumcised after the manner of Moses, ye cannot be saved.
2 When therefore Paul and Barnabas had no small dissension and disputation with them, they determined that Paul and Barnabas, and certain other of them, should go up to Jerusalem unto the apostles and elders about this question.
3 And being brought on their way by the church, they passed through Phenice and Samaria, declaring the conversion of the Gentiles: and they caused great joy unto all the brethren.
4 And when they were come to Jerusalem, they were received of the church, and of the apostles and elders, and they declared all things that God had done with them.
5 But there rose up certain of the sect of the Pharisees which believed, saying, That it was needful to circumcise them, and to command them to keep the law of Moses.
Now bear in mind that the Pharisees considered themselves the doctrinal experts, and were very adamant when they presented their opinions about doctrine. That is evident in their dealings with Christ. They wanted circumcision to still apply as “the law”. Do you think they just went on their way and everybody was happy? (If you do, then you’re not much of a student of human nature. People don’t just walk away having been told they are wrong, and never bring it up again–especially considering the Pharisees who, again, considered themselves doctrinal experts.)
If a person makes a “power play,” then that means he is trying to legitimize authority he does not have. The idea that God would just ignore that kind of “power play” as to the righteous use of His priesthood, is ignoring from whence the authority comes–it is granted by God, not something that can be gotten by a “power play.”
The idea that John or I would have “sour grapes” ignores the keys of the apostleship, which were greater than the authority of the bishops, period. An apostle wouldn’t need to be “given primacy in the church”–by whom would that be given? Christ had already given the apostles “primacy”. That is so clear in the Bible as to be self-evident.
It is not self-evident. Otherwise we wouldn’t be having this discussion.

I just don’t see where John HAD to be the leader of the Church. Jesus gave Peter the keys - thus Peter could choose his successor. And I’m still not seeing the dissension about doctrinal beliefs that you are alleging. I’m looking for dissension about the doctrinal beliefs that separate Mormons and Catholics. I haven’t seen any evidence where Peter and the apostles or their successors taught some of the Mormon doctrines, i.e. God the Father had flesh and bones, there is a “Heavenly Mother” that God procreated with to make “spirit children”, God the Father, Son and Holy Spirit are 3 separate gods, etc.