No, things are far more complex than that. Perhaps, knowing the connectivity of all the connections and the "weights" of excitation and inhibition one could model the short term behavior of the brain it came from.
But brains aren't static -- they learn and grow and remodel; they have all kinds of feedback loops (eg metabolic and hormonal); their response to conditions is undoubtedly far more complex than "fire if the sum of the weighted inputs is above a certain threshold".
If not "brain is a biological computer" then what? We don't know yet, but some things in the right direction are Donald Hoffman's model, Penrose and Hammerhof quantum processing in the brain, Kastrup analytic idealism, maybe it's some form of radio? Authors of this conference through some theories in "beyond physicalism" book.
The biggest question is why people object to a materialist theory of the mind
I'm not sure you read the article you cited, but it clearly states that the initial claims behind the "god helmet" cannot and could not be independently replicated.
Also, the underlying theory refers to "very weak magnetic fields" that are "as strong as those generated by a land line telephone handset or an ordinary hair dryer". If this had any bearing on reality, the law of large numbers would imply we'd see a relatively large number of people experiencing this effect in the wild in ways that could be replicated and experienced by anyone in the vicinity, which we are not.
So, what leads you to believe that these claims are not made up by either a crackpot or a fraudster?
The brain is not a digital CPU, where every behaviour is a result of specific purpose-made circuitry. There is no "God detector" system in the brain.