There are definitely a few non-crackpots interested in quantum microtubules, but it seems very far from mainstream.
It's conceivable that quantum effects could matter in some way on very small scales, and that doesn't really have anything to do with quantum mysticism.
Stuart Hammeroff gave a talk here at Caltech about them last year.....which surprised me a bit. It is still considered far afield from mainstream neuroscience, however, quantum biology is something many are seriously thinking about.
That could be. I'm the furthest thing from an expert in this.