That's fine, as long as religion and faulty economics are also exposed as completely illogical by AI.
Religious arguments are full of logical fallacies. Getting those pointed out a non-human with no axe to grind might help a lot of people find there way out of this trap more quickly.
When I was 22, I remember a taped debate about religion I had borrowed from my brother. It helped me figure out that there really was no proof for all the assertions that I had accepted as true.
Being able to reach that conclusion without being in a debate myself was very useful. I wasn't trying to protect my self image or save someone else.
In much the same way, computer intelligence might be just the thing many need to help them out of the maze. Especially if they can have a conversation with it and it can precisely point out an error. And if the same intelligence can deal successfully with other complicated problems and negotiations.
Not sure why the US is so religious but the education and lifestyle will kill it. No AI needed.
I think you profoundly underestimate the power of both religion and philosophy on the soul and imagination of man. Back in the 16th century, the "new learning" confidently predicted it would sweep away religious belief and other forms of "antiquated" thinking. How silly and facile that seems now. The fedora-clad New Atheists are no different—arrogantly predicting the demise of something far more powerful and permanent than they are.
But I didn't call it silly; I said it should be taken seriously. And frankly, "because science says so!" can be just as dogmatic (or even more so) than religion. "Science" isn't a monad anyway; we can't simply reference one overarching, completely non-contradictory science. And there are Christian approaches to science that, in fact, do not resort to "do not doubt." And that's just for starters—it's very misleading to posit a "religion or science: choose one" duality given the number of Christians in STEM professions, from Faraday to Larry Wall.
As far as "not sure why the US is so religious"—I don't think the US is more religious than other cultures, or why you would single the US out for approbation in that way. It's probably the case that Christianity has influenced Western civilisation and that has been expressed in a particular manner in the US on the Constitution with its enumerated rights and ordered liberties. The influence of Christianity on the West has much to do with why Western cultures are advanced in terms of technology, literacy, general learning, and the arts, even when those things are used for non-religious ends.
Regardless, I think that "Religion has helped a lot of people, it's also hurt a great many people too.. so let's just focus on converting people out of religion!" is a dangerous position that will cause harm to many. Scientific processes for finding truth (which are really just things that are the least false) and religion are two separate domains. I don't see an explanation of what "the trap/maze" is and why it demands to be detached from humanity.