@guyjantic I don't have an alternative system and I don't want to say that nothing works. What I want to say is this:
Various people have various authentic explanatory systems of the world. The only way to define the truth of an explanatory system is if it allows people to get along in the world. So I want to say that all authentic explanatory systems are true, and all are a matter of faith. I.e. everything that works works and if it works there are no grounds for saying it's false.
If people have beliefs about god that explain aspects of the world to them and they get along in the world using these beliefs there's no objective way to call them false. It's possible to interpret them into other explanatory systems and say that they'd be false in that system, but that doesn't mean they are false. If they're false, how do they allow their adherents to get along?
Also, your reasons for being partial to logic are your reasons, but they're not objective reasons for anyone to be partial to logic. E.g. you prefer internal consistency, but other people don't care so much. Can they get along in the world? If so, how can you say that they're wrong?
Finally, I don't know what you mean by "logic" anyway. Logic itself doesn't offer up any conclusions or explanations about the world, and science isn't strongly related to logic. It's not logic based in any sense of logic that I understand, and it certainly has no moral implications. It might be helpful if you gave just one concrete example of a conclusion offered up by logic, not just the conclusion but actually how it's a conclusion "offered up" by logic.
To me none of the things you list in part (c) are derived from logic. They may be presented partly in logical terms as part of the communication style of the community of knowers that know them, but it's never essential. Again, a concrete explanation of what you mean by logic and how it relates to any of these things would be helpful.