I was deeply moved by the tone and content of the comments you offered me. I did not feel able to publish them, but I offer you, in return, the following.
During the Great Schism of the Western Church, there were, at one time, as many as three competing 'popes'! (Even nowadays, there has been no watertight magisterial defintion about which of those ancient claimants were authentic, and which were "antipopes". The big bronze list of popes in Westminster Cathedral contradicts itself and is a pompous nonsense mainly designed to humiliate Anglicans.) Which 'pope' you were in communion with depended on your monarch. In effect, he chose, within the context of international politics. For example, an Englishman would be in communion with the 'Urbanist' 'pope' in Rome; a Scotsman would be in communion with the 'Clementine' 'pope' in Avignon. (When you walked across the border ... ...!)
There were no doctrinal differences between these different competing lines of 'popes'; but it remains true that, if your king did choose the wrong one, he would be dragging you into schism together with himself because he would be dragging you into communion with a spurious anti-pope. The fact that everybody thought they were doing the right thing does not change the fact that you would find yourself not in communion with the true pope if your king had got things wrong. Only God, of course, would know who was right! No wonder the Devil laughed!
So now ...
If you act in communion with "Pope Francis" because your bishop, and the other bishops of your land, accept him as pope and you are in communion with them, then I cannot believe that you are in some way separated from God our loving Father. He accepts you, whatever nonsenses your bishops get up to. That will have to be on their consciences. Medieval Christians were convinced that lots and lots both of bishops and of popes (and kings) went to Hell!! Whether these inferences were based upon sound data, God has not revealed to me.
Even if it transpires subsequently that your bishop has got things wrong, and PF is not really pope, I do not think that your allegiance to him will be regarded by God as having been grounds for sending you to Hell. In fact, people who were on both opposing sides during the Great Schism were subsequently canonised.
So ... in practical terms ... find out whether your own bishop names PF in the Te igitur and ... bob's your uncle! ... if he does so, it will be safe for you to regard him as pope too. Let His Lordship take the rap! He has broad shoulders! It will do him good!
Even if it turns out that you are right in your suspicions that PF may not be pope!