I honestly do not think the “father” issue is a valid argument, except that one is not a father by title except to those they have fathered. Paul himself referred to himself as a father, and called Timothy his son, as well as the Corinthians (1Cor. 4:14,17; 1Tim. 1:2; 2Tim. 1:2; 2:1), and unlike Rome’s hermeneutic, the epistles interpret the gospels.
But as for the pope being like Peter, according to these that has historical disagreement:
“It is quite certain that Popes have never disapproved or rejected this title ‘Lord God the Pope’ for the passage in the gloss referred to appears in the edition of the Canon Law published in Rome by Gregory XIII.” Statement from Fr. A. Pereira.
“Those whom the Pope of Rome doth separate, it is not a man that separates them but God. For the Pope holdeth place on earth, not simply of a man but of the true God....dissolves, not by human but rather by divine authority....I am in all and above all, so that God Himself and I, the vicar of God, hath both one consistory, and I am able to do almost all that God can do...wherefore, if those things that I do be said not to be done of man, but of God, what do you make of me but God? Again, if prelates of the Church be called of Constantine for gods, I then being above all prelates, seem by this reason to be above all gods.” Decretales Domini Gregori ix Translatione Episcoporum, (on the Transference of Bishops), title 7, chapter 3; Corpus Juris Canonice (2nd Leipzig ed., 1881), col. 99; (Paris, 1612), tom. 2, Decretales, col. 205 (while Innocent III was Pope).
“We may according to the fullness of our power, dispose of the law and dispense above the law. Those whom the Pope of Rome doth separate, it is not a man that separates them but God. For the Pope holdeth place on earth, not simply of a man but of the true God....dissolves, not by human but rather by divine authority....I am in all and above all, so that God Himself and I, the vicar of God, hath both one consistory, and I am able to do almost all that God can do...Wherefore, no marvel, if it be in my power to dispense with all things, yea with the precepts of Christ.” Decretales Domini Gregori ix Translatione Episcoporum, (on the Transference of Bishops), title 7, chapter 3; Corpus Juris Canonice (2nd Leipzig ed., 1881), col. 99; (Paris, 1612), tom. 2, Decretales, col. 205 (while Innocent III was Pope).
“We confess that whatever new thing the Pope ordains, rather it be in Scriptures or not in Scripture, and whatever he commands is true, divine and salvific; and therefore ought to be held by Lay People in greater esteem than the living God.” Roman Catholic Confessions for Protestants Oath, Article IV, (Confessio Romano-Catholica in Hungaria Evangelicis publice praescripta te proposita, editi a Streitwolf), as recorded in Congressional Record of the U.S.A., House Bill 1523, Contested election case of Eugene C. Bonniwell, against Thos. S. Butler, Feb. 15, 1913.
“It is error to believe that, if the Pope were a reprobate and an evil man and consequently a member of the devil, he has no power over the faithful.” Council of Constance, Condemnation of Errors, against Wycliffe, Session VIII, and Hus: Session XV; DNZ:621, 617, 588, (quoted in Apostolic Digest, by Michael Malone, Book 5: “The Book of Obedience”, Chapter 1: “There is No Salvation Without Personal Submission to the Pope”).
..whether it be possible for him (the Pope) to err or not, is to be obeyed by all the faithful.” St. Robert Bellarmine, De Romano Pontifice, pt. 5, (quoted in Apostolic Digest, by Michael Malone, Book 5: “The Book of Obedience”, Chapter 1: “There is No Salvation Without Personal Submission to the Pope”).
Do you seriously maintain, seriously now, that Cronos, Campion, Natural Law, I, or any other Catholic on Free Republic thinks the Pope is God?
You might also want to look the concept of "vicar" (cognate word, "vicarious" - also "vice" as in "vice-president"). When Evangmlw claims to be exercising a watchman's function he is claiming to be, in a certain respect, a vicar of God, whether he knows it or not.