You'll need to set some time aside to read it, but here's a scholarly paper titled Tu Es Petrus, "The Necessity of Peter for the Unity of the Church," by William A. Wheatley, a member of the Church of the Good Shepherd, Rosemont.
In the Introduction, Mr. Wheatley states, "Many who admire and respect the Catholic Church and who consider themselves Catholic Christians nevertheless reject the claims of the Papacy as not being supported by the Bible and not necessary doctrines for Christians to believe. This is true even of many who are otherwise Catholic in their faith. The purpose of this paper is to examine the Catholic claims regarding the Papacy and their foundation."
I encourage you to read the whole paper, and it may provide an opportunity for some interesting comments and discussion.