No, they don't say that the market is perfect. And if you want a cult, that's the current keynesian economics.
Anyway, I don't see any way around not using math. Because value is subjective and that means it's a ranking system of preferences, not based in nominal values.
You can mathematically analyze subjective rankings. That's not at all a problem for model building.
What makes the Austrian economics "school" a cult is not the complexity of models. It's their rejection of models altogether and a refusal to make testable predictions.