I feel like this isn't at all what most religious people are doing and that you're presenting some kind of strawman to make them seem alien and dumb
There's really roughly two camps, one which is very much questioning the existence of God and are actually busy trying to find the answer to the existence question by finding evidence. Sometimes in scripture, sometimes in others or in nature. Often these people are actually somewhat open to counter arguments. These people are generally somewhat equivalent of physicists with a pet theory they're trying to pursue, develop and prove, say string theorists.
The other camp believes strongly, and isn't so much involved with whether or not God exists, but instead they deal with the details. They might think about how the trinity works, talk about trying to reach the youth, working on helping people in their local community, etc. These people are kind of the equivalent of physicists who work within the existing framework of established physics. Whether that's through applied physics or by say trying to analyze the composition of some star.