Well, that’s a pretty extreme case.

I’ll respond in two ways:
(1) I don’t believe it can happen that the Vatican will disappear, or at least that the authority representing the Vatican will disappear.
I’m not talking we lose a Pope and some Cardinals, I’m taking we lose ALL of them. Like, the entire Roman lineage is just flat-out
GONE. Would there simply be a new bishop placed over the Roman See as it’s built from the ground up, then? Would the concept that bishops are successors of all the Apostles come into play? I mean, if by some zany, freak apocalypse we lose all but three bishops in the entire church in Idaho, Timbuktu and Albuquerque, and these three joes are all that’s left, then Ignatius’s eucharistic model of the Church has to come into play. Where there is a bishop, there let the faithful be; even as where Christ is, there is the Catholic Church. That is what I was trying to get at.
It is not well known, but Pio Nono did NOT get everything he wanted out of that Council. One needs to study V1 in depth, and not just the cursory accounts you might read from Absolutist Petrine exaggerators or Low Petrine detractors.
I’ll have to look into that sometime. I won’t make you spoil the whole surprise.
The Pope could mitigate matters for the Easterns, but the fact of the matter is that he really had no authority to simply override the authority of the local Latin bishops (which is by divine right) who did not want married clergy in their territory.
Even in the event that Eastern bishops were present? (Truth be told, I’m not entirely sure how may Eastern Catholic bishops were in the States, if any, when that ban on married clergy was enacted)
Yes. But one needs to distinguish that the definitive teaching of the ordinary Magisterium (which is just as infallible as the definitive teaching of the extraordinary Magisterium) is hardly ever referred to as “dogma.” Dogma more often and normatively refers to the definitive teaching of the EXTRAordinary Magisterium (i.e., the Pope ex cathedra or the Ecumenical Council). The definitive teaching of the ordinary Magisterium (i.e., which incorporates the idea of “any bishop”) can take centuries to establish, and would more often be referred to with expressions such as “de fide” or “in the Deposit of Faith” or “in Sacred Tradition.”
If I understand you right, then “definitive teaching” isn’t just something like Unam Sanctum, which was proclaimed at once, but something more akin to, say, Papal primacy, which was developed over centuries?
Well, we should hope it is, but that is not the point of the matter. The criteria listed is for the purpose of identifying an infallible teaching of the Church. Without all these criteria, saying “any bishop who teaches the Orthodox Catholic Faith is infallible” is tantamount to the expression “every bishop is his own Pope.”
Those considerations are a lead-in to the last criteria on this matter - the confirmation of the head bishop of the Church.
IIRC, the Arians outnumbered the Orthodox at Nicaea, or at least came pretty darn close to it. The emperor called the council, the Holy Spirit prevailed. When in doubt, call a council!

That seems to be how things have worked since the beginning; in any dispute that divides the church, a true council solves it. Just think of how many heresies the Fathers needed to condemn during the first several Councils! Those who were Orthodox in every manner must have been vastly outnumbered by so many heretics!
But therein lies the admitted difference between our points of view.
Oh, please, you’re fine! I appreciate your insights and research into the topic. Ultimately, I believe we’re closer in opinion than you might think.

If I was to generalize, water down and simplify each of our positions into one sentence:
You: “The Pope is a brother bishop and not absolutely supreme over them, but he is also the head bishop.”
Me: “The Pope is the head bishop, but he is also not absolutely supreme over them.”
The difference between us, I think is where we place our emphasis; you place your emphasis on there needing to be a head bishop together with the rest of the bishops (to simplify, and perhaps consequentially make a caricaturization; if I have done so,
my apologies! 
). I place emphasis on the head bishop and the rest of the bishops needing to be of one mind, and that neither can rule over the other or call the other needless.
Given all that, I must add that I am more understanding today of the Catholic expression “the Ecumenical Council and the Pope” or “the College of bishops and the Pope” than I was in the past.
You and I can both agree than the Absolutist Petrine View is simply not Patristic, or supported by Church history.

A head bishop is good, definitely, and attested to, even if he’s just the “appeals court,” so to speak.
I hope the explanations I gave have clarified the matter.
And I hope I’ve clarified my own beliefs of it.
