But drew believes that the proximate rule of faith is the set of dogmatic doctrines of the Church.
Yes, and that's correct and very important. It's the neomodernists who make the(ir fake) Pope the rule of faith such that the "Pope" can reinterpret Church doctrine as he pleases.
This is why he believes Bergoglio is the true pope and also why he believes he can justly resist the pope and use his own private judgment to overrule the pope’s decisions.
As far as I understood him, Dr. Drew prefers to believe that Bergoglio is the true pope, because he thinks that
Pastor aeternus forces him to believe so. It's not because he correctly states that the proximate rule of faith are the infallible teachings of the Church. I on the other hand, believe
that the consummation of the age has come, and that there are no apostolic shepherds or a Pope, anymore. And to judge that those
who say they are apostles (Rev 2:2) aren't such, I measure them using the rule of faith.
The Church on the other hand teaches that obedience to the pope is necessary for salvation. But it was always necessary to use our own private judgment to identify the pope and the true hierarchy of the Church. E.g. St Vincent Ferrar vs St Catherine of Siena during the Great Western Schism.
Yes, sure. But I have one objection: It's not "private judgment" as you say. We don't use "private judgment" to decide whether someone
who says he's an apostle is or isn't an apostle. Rather, we use the rule of faith. We use the rule of faith to determine whether he's a manifest heretic or he isn't. If he is, then we reject him as an apostle. Dr. Drew chooses to resist him, while I prefer to go with the unanimous opinion of the Father's as passed down by St. Robert Bellarmine and I call him a fake-apostle.
So if you believe that it is the pope who is the proximate rule of faith, then in order to know what the Church teaches, you first have to identify who is the pope or in the case of an interregnum, who are the legitimate hierarchy of the Church.
If you believe that it is the Pope who is the proximate rule of faith, then you believe what the neomodernists believe. Then you put a man above defined dogma. Then Popes, or rather "Popes", can fool you every day.
Any man must to follow his conscience, anyway (St. Thomas Aquinas). And all we have to judge properly, are the infallible truths fallen from heaven and written down by the Magisterium of the Church. The only way to reject those who call themselves Magisterium, but aren't, is to use the past Magisterium. When contradictions start, then they aren't.
And that's not "private judgment". We don't use private rules, we use the rule of faith as proposed by the Church of Our Lord.