Yes, my prooftexting is completely out of context with extra-scriptural tradition. So when the verse says "one mediator of God and men" it doesn't mean there is only one mediator between God and men at all, it means that there is only one FINAL mediator to God. The Catholic view appears to be that this verse means that in between men and God there are thousands of mediators who all report to Christ, who then passes along the messages to God the Father. I have to admit, not in a million years would I have come to that conclusion by just reading the words in only the context of other scripture.
It is a completely natural way to read 1 Timothy 2 in the context of a strictly hierarchical, yet unconcerned with social class church described in the letter. If St. Paul meant his comment to be directed against all human mediation he would not be instructing about the role of women, neophytes, deacons, and bishops, where the latter group has responsibilities for the former. You insert into that passage the preference for a flat ecclesiastical structure of late Reformation, while its intent is to explain that both kings and plain folk have one God the Father and one Christ, and therefore cannot claim social privilege. I do not need anything not contained in the letter to see that.