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There'a no person who plays chess on a good level while employing Bayesian reasoning.
In Go Bayesian reasoning performs even worse. A good Go player makes some of his move simply because he appreciate their beauty and without having "rational" reasons for them. Our brain is capable of doing very complex pattern matching that allows the best humans to be better at a large variety of tasks than computers which use rule based algorithms.
I'd imagine Deep Blue is more approximately Bayesian that a human (search trees vs. giant crazy neural net).
I think you mean "cleanly constructed" or something like that. Minimax search doesn't deal with uncertainty at all, whereas good human chess players presumably do so, causally model their opponents, and the like.