Paul Rebuking Peter, Peter Was Not "The Head"

2) 1 Corinthians 1:12-19 - [12] Now this I say, that every one of you saith: I indeed am of Paul; and I am of Apollo; and I am of Cephas; and I of Christ. [13] Is Christ divided? Was Paul then crucified for you? or were you baptized in the name of Paul? [14] I give God thanks, that I baptized none of you but Crispus and Caius; [15] Lest any should say that you were baptized in my name.

[16] And I baptized also the household of Stephanus; besides, I know not whether I baptized any other.[17] For Christ sent me not to baptize, but to preach the gospel: not in wisdom of speech, lest the cross of Christ should be made void. [18] For the word of the cross, to them indeed that perish, is foolishness; but to them that are saved, that is, to us, it is the power of God. [19] For it is written: I will destroy the wisdom of the wise, and the prudence of the prudent I will reject.

Protestant Christian Understanding: Those who claimed to follow Peter, were condemned by Paul.  Thus Peter as "Pope" was rebuked and corrected by Paul and therefore did not hold authority over the rest of the Apostles as Pope or the head.

Catholic Christian Understanding:  In this verse, Paul is attacking the idea of "Paul versus Peter" or Peter against Paul.  Paul is saying that he and Peter are part of a team and they cannot be pitted against one another.  We are all a part of the body of Christ and Christ is not divided.  This is not an either / or situation, rather, this verse is referring that all the apostles letters are equally important and that they are all on the same team.  Neither of the Apostles ever condemned people for respecting either of their authority.  The only people that are condemned are those people who only accept one apostle's writings and reject the rest of the apostles writings.