There is a similar center for medical pseudoscience in the US govt, created through the demands of a Congressional believer. There are strong patients-running-the-asylum tendencies.
Seriously? Take a look at NCCAM's results. There's an awful lot of "we found this concoction to be no better than placebo" and "that herb does not reduce the risk of cancer" there. From a Bayesian standpoint, NCCAM is doing the hard work of debunking: finding all the absences of evidence that are evidence of absence. Yes, they're spending time debunking stuff that should never have been bunked in the first place; and no, they're not immediately going around and shutting down the fraudulent herb-pushers — but there's a long way between that and the blind credulity you seem to be suggesting.
Lots of charlatans spend lots of money advertising diets and health products that don't work. We have a National Institutes of Health that, among other things, funds studies that make more-objective pronouncements on diet and health.
Argue pro or con: It would be a good investment (payback would exceed opportunity cost) for the US government to create a National Institute of Theology, that would fund research into theological questions. For instance:
Everyone, religious and atheist, should be motivated to want the answers to these questions to become widely known.
(Yes, I know this would be politically impractical. Pointing that out is not interesting. What is interesting, is whether such a NIT would be beneficial, supposing it could be made.)