"It will reduce the chance of cooperation due to religious beliefs so it will make the plane safer"
And it will reduce the chance of cooperation due to religious beliefs, so it won't.
Seriously, have you ever put two over-tired people with wildly differing, strongly held religious views in close confines and made them work together? It's grounds for arguments, passion and flared tempers. None of that should be going on in a cockpit of an airliner.
Frankly, I'd prefer my pilots to be selected because they were the best at their jobs, not recruited on the grounds of religion. And when/if there is an issue on the flight deck, I want the pilots to fall back to relying on their skill and nothing else. I do not want fervent prayer to replace skill and dedication.
I don't agree with any of your points. They are poorly thought-out knee-jerk reactionary solutions to a problem that we are not even sure exists.
The best person to fly a plane is the pilot in the cockpit, working in close harmony with their first officer. Putting two different flavours of religious maniac in two separate boxes, refereed by someone on the ground, in a plane with a remote control over-ride which could be subverted is frankly not a good solution. I wouldn't get on that plane.