The more you learn about something, the more you realize how little you know about it.
This isn't just philosophy; when people know nothing about a thing, they assume that there's "nothing to it". Then they confidently make decisions based on incomplete information. (It could be because interesting elements exploit the interplay of the simple and the complex. Or it could just be because small details aren't visible at a distance.)
Paradoxically, bright people are more susceptible to this thinking. Bright people are accustomed to quickly understanding ideas outside of their field of expertise, and this understanding is often superior to experts'. A bright person can start to believe (subconsciously) that much of the work in a field is characterized by lack of understanding.
This has ramifications for religious leadership. That religious leaders have insight into issues not technically within the sphere of religious practice is a doctrine of Judaism, and probably other religions as well. It's only logical; following Judaism is about living wisely, and someone with a deeper understanding of Judaism should have attained greater wisdom. In order to be truly wise, however, a person must be aware of his limitations. Maybe this awareness can be achieved by encountering sufficiently dramatic examples (for example the abuse cases involving religious leaders in recent years), or maybe it requires learning a little bit about alot of different things.
(It is troubling to think that G-d confers special wisdom in a way that is completely independent of the natural working of the world. For one thing, thinking that you've got supernatural aid from G-d certainly exacerbates the problem described above. For another, there is no good way to tell when you got it, and when you don't. "Trust in God, but steer away from the rocks", applies here as well.
At any rate, I don't think Judaism encourages completely ignoring the rules of the physical world. There's a gemara in niddah that gives advice about achieving various goals; in each case the gemara advises both acting according to natural way of the world, and
also praying for success. In this era characterized by hester panim ("G-d hiding His face"), we certainly shouldn't abdicate the responsibility to do our hishtadlus (effort), especially where other people are involved.)