RD, in this aspect, your are misapplying a mindset that is somewhat outside the mainstream of Catholic political behavior. Nobody really vets your orthodoxy at the seminary, it’s more or less assumed.
In contrast, back in the 1980s, anyone in intelligence was constantly getting interrogated for possible espionage activity. So much falls under the umbrella of the permissible that it would be pointless to try to “vet” it - the vituperation one sometimes reads here is a function of the lack that kind of discipline, other confessions just “split” over those disagreements.
But essentially, yes, Angry is not going to like it because he’s going to be an outsider in that kind of government. But an atheist overflowing with the milk of human kindness is an outsider everywhere, so there isn’t much we can do for him. Kanichen is not going to like it because (1) it isn’t European, very, although it would end up being more European than much of Europe will probably be. (I am still pondering what about Europe she really likes, btw. Maybe that quintessentially European monument, the Millenium Dome, or the fox hunting ban); and (2) the point of such a polity is to protect Catholics in their faith, and it us uncertain whether this is a goal she likes.
As to the status of Jews generally, the reality of a confessional state varies between something like Austria before the Great War, and perhaps Greece today, where Orthodoxy, though not required legally, is in reality all but required.
For semi charmed Anglicans, not to worry. You’ll love being a recusant!