There is no universal peaceful acceptance of Jorge Bergoglio as the pope. I posted an answer to this idea in another thread. Let me copy/paste it here:
In any case, there is no universal public acceptance of George Bergoglio as pope on the part of Catholics, so the question is moot anyway. If someone is appealing to the mass of people who call themselves Catholic today, most of them don't believe that abortion, divorce, contraception, sodomy, etc. are mortal sins. Most of them don't believe in transubstantiation. People who don't accept these teachings are not Catholics, therefore their opinions are not relevant to a discussion of whether most Catholics accept George Bergoglio as pope.
Now, once you eliminate all those heretics from the discussion, the people you are left with are basically the ones we would call traditional Catholics, broadly speaking. Among those people it is true that a majority of them, probably, believe Francis is the pope, but the fact is that significant numbers of them don't. Probably many of them think George is likely the pope but are confused about how he is able to be such an open heretic and pope at the same time, and may be unsure in their own minds about the question. Then you have some who think Ratzinger is the pope. Then you have the sedevacantists. But however you look at it, among people who profess the Catholic Faith and do actually accept its teachings, there is nothing even remotely approaching a universal consensus that George is pope. So I think the UPA discussion is irrelevant to the current situation. Whatever acceptance George enjoys, it is far from being either universal or peaceful among Catholics.