Good question. I’ve addressed similar scenarios, most particularly the one where you’re asked, “If a psycho held a gun to your child’s head and said, deny god or I’ll kill him”, would you deny God?
I got lambasted but good for saying that, No, with God’s help I would NOT deny Him, ever.
But you know what? I’m going to risk the screams and outrage again and come right out and say, if we got taken over by Muslims, I would walk to church, carrying my Bible and my rosary. And if I was told, “Repent or die” I would pray to God to give me the courage to die for Him.
It’s all well and good to say that you could ‘secretly’ pray and keep on living. Yeah, right. Living for what? If you don’t have people out there willing to risk death to worship God, why would you be willing to do so secretly? What would be the point? If God isn’t important enough for us to ‘stand up for Him publicly’, then doing so ‘privately’ is simply a sop meant to excuse our cowardice, IMO.
I think though that if it came to a point where the U.S. and Europe were taken over by Muslims that we would rather quickly see the Second Coming, because the Christians who were willing to be martyred would be found right away (since they’d be the ones brave enough to make a stand). Then of the ‘hidden’ Christians, after seeing the others martyred, they would either get the courage to stand up for Christ as well, or they would be too ‘afraid’. And we know that the Church will stand and the gates of Hell will not prevail. . .so at the point that the last Christian left who is willing to proclaim his faith in God is put to death . . .Christ will return. Hopefully the remaining CINOs will, before their death, repent of their cowardice. And the Muslims who wrongfully thought that they were the ‘true’ worshippers of "allah’ will also, before death, realize that they were wrong and repent. But I trust in God and I know that if I am faithful to Him–and not just ‘sorta’ faithful by keeping quiet about my belief just so that I can ‘live’ a bit longer–then I shall be with Him forever. And that is worth everything.