The hundreds of separate bodies such as you mention to not appear in the New Testament, which has a definite hierarchy, starting with Jesus calling of the 12 and extending to his dispatch of the 70. Paul was very exercised by those who challenge his authority as apostle and instructed Timothy how to behave as a bishop. The very purpose of the canon of the New Testament is to limit the disparity of what was taught,which is to say, it is the book of THE Church. I say this leaving aside the matter of authority of the bishop of Rome.
Whoa, talk about eisegesis. May wish to read the Book instead of the Party commentaries. Is this why Paul had to spank Peter, (?the first "bishop" of Rome) publicly? Sounds like someone nominated the wrong guy. The believers in Christ, alone, will stick to Paul's teaching about the Gospel (14 of the 27 letters/books) and leave Rome to play by itself.