"The Lord Jesus Christ is the Head of the church, in whom, by the appointment of the Father, all power for the calling, institution, order or government of the church, is invested in a supreme and sovereign manner; neither can the Pope of Rome in any sense be head thereof, but is that antichrist, that man of sin, and son of perdition, that exalteth himself in the church against Christ, and all that is called God; whom the Lord shall destroy with the brightness of his coming."
-London Baptist Confession of Faith, 26.4 (see also: 25.6 in the WCF)
Our tradition confesses that the very concept of a pope is contrary to the mind of Christ. In fact, the pope presently takes for himself the titles of the Trinity: the father of all true Christians, the head of the Church, and the vicar of Christ. A pope who led Rome far enough towards truth that we could confess him as a brother and his institution as a church of Christ would no longer be recognizable as a pope, according to Rome's tradition.
I almost wonder if we ought rather to pray for a pope who is even "worse" than Francis (i.e., more globalist or "liberal" in his attitudes) in order to drive the tradcaths who left broad evangelicalism in search of truth and tradition back towards the pure gospel.
In any event, the best thing that we could ask of God for the next pope is his true conversion and public repentance.
"I say it without the least hesitation: whoever calls himself the universal bishop, or desires this title, is, by his pride, the precursor of Antichrist, because he thus attempts to raise himself above the others."
-St. Gregory the Great