If a Pope does something wrong, or less than ideal, who is he representing? If/when a Pope does something wrong, who is he representing? is he a man who sins, just like the rest of us, or is he supposed to be sort of like the face of God, thereby showing that if he did something wrong, then the pope himself is a fake? 

in other words, if a pope did do something unarguably sinful (so not debatable) what would that mean for him specifically, and then Catholics in general?
The Pope is not "the face of God": he is "primus inter pares"1 (the first between equals) - he is not "more bishop" than any other bishop, or "more perfect" than any other man. He is a sinner like all of us, but it's wise and the Church (under Holy Spirit's guide) choose him as chief.

He is not infallible (except in some special occasions, but historically it happened only two times) and he often consult other bishops for his decisions

1 "primus inter partes" is not an official title of the Pope (it refers to the Patriarchs of Constantinople, chief of Orthodox church). The official title of the Pope is "Vicar of Christ", but it's only a semantic difference. The Sacrament of Ordination has only 3 steps, and the pope has the "fullness of the sacrament of Holy Orders" just like other bishops. Pope, Cardinal, Archbishop and similar are human titles, no related to Sacraments - Source: Catechism of the Catholic Church