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A manifest deity, deterministic or non, is impossible to prove scientifically. Its a waste of time to try.

Why so ? Just have a booming voice announce that he'll suspend some physical laws for a little while and we would have good reason to believe that there is a powerful entity out there. Even better, have him announce he'll instantly stop a tsunami, wildfire, hurricane and save lots of people- not only would there be scientific evidence, it would also help getting rid of the argument against god from natural evil.

You could not prove omnipotence but at least it would be a beginning compared to the lack of any evidence whatsoever.

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If we are scientific, than the fact we cannot see or hear it is enough for us to conclude, however incompletely, that there is no God and nothing a christian, muslim, taoist, buddhist, anything-ist can say will open us to that possibility.

That is under the assumption that these gods interfere in the natural world so demanding to see evidence of such claimed interference is certainly not too much to ask.