@ aqwsed12345
Thank you for your response regarding the diversity of early Christianity. You say that "the disputes were primarily about how to articulate [Christ's] divinity within a monotheistic framework". That is true in part, but there were also disputes about adoptionism (that Jesus was just a man adopted by God), separationism (that Christ and Jesus are two different entities), docetism (that Jesus only appeared to be in the flesh) and modalism which I have already touched on. There were also differences within each group including the Logos theology. Tertullian's alignment with the Montanists was considered heretical. Origen came to be violently opposed by the fourth-century heresiologist Epiphanius. In fact, just about every ante-Nicene father was declared heretical at a later period although they were "orthodox" in their time.
When I said that claims of apostolic succession were limited "only by lack of imagination", I meant that it was not only Irenaeus and his party which claimed their predecessors (Polycarp) were taught by the apostles, but many groups including the Gnostics could also trace their predecessors back to the apostles. Whether, in fact, Polycarp did know the apostle John is discussed by Richard Carrier here, as referred to in the post from peacefulpete.
@ Sea Breeze
Unfortunately, your "single seemless [sic] tradition of solardarity [sic] among Christians" from the beginning was a piece of propaganda from Eusebius in his "Ecclesiastical History" written in the fourth century. Your cut-and-paste from the article Nine Early Church Fathers Who Taught Jesus is God does not reflect scholarship on the Apostolic Fathers which shows most evidence we have of what they wrote is very late and has been subject to revision. I am not going to respond to everything provided in a cut-and-paste, but if you wish to provide one example yourself I would be happy to let you know how accurate it is.