Besides the public heresy issue, which yes, from what I know about him during his time in Argentina, I don't believe he was a Catholic, or that he was a legit candidate for election...
The other thing that concerns me is that he has no uniformity with past popes, he isn't even pretending. I'm not sure that he even is making a claim to be Vicar of Christ, pope, successor to St. Peter, etc. as it is defined by the Church and he isn't even pretending to be pope in any sort of continuity with History itself.
If I was no longer a Catholic or had I given up my faith, shudder to think, I'd behave exactly like Bergoglio. He is in a place of social, worldly honor and he enjoys it, the Catholic part is an inconvenience to him.