I don't think AI would be a good god. I think it will always lack in creative thinking and adaptability compared to humans and I don't believe it will always be able to judge creations of humans, because how do you algorithmically judge something which is unprecedented, with no information to base your judgments on?

I don't see how AI could replace governments (for the same reason, I don't think it would be good god). And good government needs to be transparent to humans, because it rules over them and actually, humans are the only ones who can judge it. AI judge would just be relaying the morality of the creator of AI. So you still have a problem of who should create that judge, which is essentially identical problem to: who should judge/govern us?

So humans will always be in control of AI (and I think you want that), therefore the same transperency vs privacy problem among humans remains.