I could show you, but I don't believe you would accept it.
First, the scripture knows of no teaching or organization even remotely resembling the RCC. All of the distinctive RCC doctrines find no basis in scripture; they are later -- even much later -- additions and inventions. The RCC is a result of an amalgamation of a corrupted "Christian tradition" and influx of paganism, a state-church union that became a murdering machine.
There were no monarchical bishops in the New Testament. There were two orders of ministry -- pastor and deacon. The words pastor/elder/presbyter/bishop are synonymous.
The RCC beliefs about Peter are fables with no scriptural or historical support. Here is a good article which you will no doubt disbelieve:
http://www.vision.org/visionmedia/article.aspx?id=5820
That's a start.
We all read scripture through a cultural lens. In other words, Baptists read it as if the churches in the N.T. were Baptist churches; Lutherans read it as if the churches were Lutheran; Catholics read it as if the churches were Catholic. How so? Practices that are spoken of with a measure of ambiguity are seen in the light of the reader's experience. For instance, when the N.T. speaks of baptising households, Lutherans and Catholics just assume it means infants because they are not explicitly excluded in any of the four accounts of household baptisms. The Bible doesn't say either way. Same thing with the Lord's Supper. When Paul speaks of it, Lutherans and Catholics will visualize the presiding individual holding up the host and consecrating it. Baptists will visualize praying over the bread and wine (or grape juice) and then passing it around. Again the Bible is silent.
The fact is that there are very few N.T. practices that are totally free from ambiguity. Consequently we get a lot of denominational gloss when we read about the early church in the New Testament.
The fact is that all of the distinctive Catholic doctrines do have a basis in scripture. Some of them rely heavily on Tradition but none of them are excluded by scripture. I have shown that many times on this forum but the responses are always something like, "That can't be what it means." Then they go on to explain that, "We know this is so; therefore that can't be so."
Your saying there are no monarchial bishops in the N.T. is once again your seeing scripture through your baptist lenses. The idea of having a presiding bishop is seen very clearly in Titus 1. Very clearly Titus had authority over the churches of Crete and exercised it by appointing elders in each city.
As for the beliefs about Peter being fables, I know you are wrong. A fable is a story that usually portrays a truth through the speech and interactions of animals, and inanimate objects. It is a genre of literature and I am not aware of any fable in which Peter is the object of discussion.
As for what I think you intended to convey, I did read the article you provided in the link and it appears to be that the author is really straining to show that Peter was not in Rome. One thing he mistakes, that Cathoiics belive Peter established the church at Rome. Not so. He got there about the same time as Paul, which explains why he is not mentioned in the epistle to the Romans. Did you consider the source of the article? I looked around the site and it appears to have come from the Church of God in Pasadena. Unless I am mistaken, this is the cultic group that was led by Herbert W. Armstrong and later by his son, Garner Ted Armstrong. Back then they referred to themselves as the Worldwide Church of God.