I'll try to be a little less obtuse. I thought better about getting into this in the shitpost comm, and since I'm getting massacred my first impulse was probably correct. But I'm a huge nerd, cant help it.

So I guess I don't know what you mean by epistemologically consistent. As a general rule of epistemology, people can have different, incompatible epistemologies, which basically renders communication impossible, since the participants use different models to determine what is true. This uh happens a lot since people think the way that they determine truth is the "right" one. Even my attempt to adapt different ways of thinking to different situations has limits, since I'm never going to subscribe to like flat earth theory. Not all epistemologies are equally valid or rigorous. Arithmetic is highly rigorous, whereas flat earth has a low bar for proof. Also I'll argue that the validity of various theories of knowledge are historically contingent. Empiricism isn't just "more true" than religion because it is more rigorous; in fact the hermetic tradition was extremely rigorous and scientific, but because they viewed "god" as indistinguishable from nature, they could synthesize religion and empirical science without contradiction. Their scientific inquiry was a sacred religious ritual where god learned about its own physical body (nature) through the consciousness of the scientist which was a part of the consciousness of god. This kind of monism is completely foreign to us, yet Isaac Newton was a Hermetic whose theories are still highly relevant and rigorous. But if a scientist publicly expressed these views to the academy they'd be deemed an eccentric, if not a crank of the highest order.

The second part of your question is more straightforward. How would the world change if god didn't exist the way I described, as being socially real? There'd be no churches, no religious art, no pilgrimages that attract tens of millions each year. There'd be no recognizable European medieval period. Tens or hundreds of millions of people wouldn't donate their time or money to the church. Which like, wouldn't that be fucking awesome? no indigenous "schools" no religious colonialism/imperialism.

But all these followers aren't lying in order to trick you into thinking god exists. They feel god, they experience god through their institutions, rituals, art, monuments, and yes, crimes. This exactly is the limit of pure Empiricism, it forces you to completely disregard subjectivity, or relegate it to a lower order of "realness" than a physical object. A stone in the middle of a lake will have little effect on the outside world outside of its extremely local circumstances; but a religious belief can have deadly implications for millions if it becomes the policy of a government. Laws, money are socially real, determined by their existence on paper, are upheld by sophisticated social constructs that reach into our minds and our behavior. But again, is a law not "real"? Of course it is. Try to break one in front of a cop and find out how real it is.