If you believe in the God of the Bible, why try to prove it logically?

[Zarith]

But the statement "God is good" has 2 possible interpretations, with very different implications. Surely the believer has to at least decide which it is they believe.

Not at all. Goodness has only one meaning. To be good. What you're suggesting isn't good. It's a very much lower standard. One that would contradict the nature of God and the logical possibility of his existence.

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Does God's nature have goodness, or is goodness the property of being in God's nature? This gets us nowhere.

God doesn't 'have' goodness. God -is- good.
Goodness isn't a property of God. God -is- goodness.

But God has other attributes as well. 'Creator of everything' is one example. So if the concepts 'God' and 'goodness' are equivalent, or share the same identity (the delicious ambiguity of the word 'is'), then to say that an action is morally good is to make some statement to the effect that this action had a role in the creation of the universe. Well, that's clearly absurd. So 'God' and 'goodness' must denote different concepts after all, which shouldn't really come as a big surprise to anybody, because that reflects the way in which we use them in everyday speech.

We don't say that numbers are divisible by 2 because they are even; they are even because they are divisible by 2. So the property 'evenness' is defined in terms of divisibility. So which is it here?