And how is any of this preventing the wizard to know how to counter the attacker's tactics by using Contact Other Plane? Because the attacking guy also used Contact Other Plane?
I'm not really sure how to figure out how the two spells would interact... Theoretically, each should fully incorporate the other's predictions, and still be entirely true... I think it is impossible to analyze this in the abstract. We'd have to get into very specific questions to really determine outcomes. Or just write if off as too complex, and give up on this as an intractable problem. I don't think we can just hand waive it away, either, and say that they nullify each other. They don't. They both have to be true, according to the rules. So at best I think we can get a draw here.
Good idea with Metafaculty, though. I think you could in theory get as much information (or more) using Contact Other Plane, but Metafaculty is much more straightforward. It would be something that any high level Psion would employ right "out of the box", instead of being a specific outlier than likely never sees use in a game (like we're using Contact Other Plane). So I think arguably we could say that it would be likely that a typical high level moderately optimized psion could quite possibly find and destroy the typical high level moderately optimized wizard, because the psion is a lot more likely to be using Metafaculty than the wizard is to be using complicated Contact Other Plane shenanigans. The psion is also very likely to have access to Psychic Reformation, so he can customize his powers known and feats to take advantage of any vulnerabilities that Metafaculty reveals. Of course, this costs quite a bit of XP, but the payoff is worth it.
But that's not really a non-caster vs. a caster, in my book.