I'd say the question is flawed (at least, in this context); religion is purposefully the opposite of empiricism for most everyone I know, anecdotally. Hence why it's given the term "faith".
Exactly. How do you formulate "simulation" without such faith? The idea of demonstrating evidence of either god or simulation is equally nonsensical. The people grasping for such might as well grasp for the spaghetti monster.