Fundamental Arrogance in Christianity

[Nonpareil]

The objective evidence includes the fact there is something rather than nothing, that things can persist in their being despite change, the consistency of cause and effect relationships, etc.

None of these things are evidence for the existence, necessity, possibility, or even likelihood of a god.

To account for this evidence there are logical demonstrations justifying the belief in God as a likely explanation

No, there aren't.

There are quite a lot of things that claim to demonstrate this, but none of them actually succeed.

As for the lack of a logical proof for the existence of a specific rock, that is a simple category error. Logic is the process of constructing valid arguments - that is, building conclusions that are true if the premises are true. Determining whether or not the argument is sound - that is, determining whether the premises are actually true, and thus whether or not the conclusion is actually true - is where the gathering of evidence comes in. And proving it to others is more a matter of making said evidence widely available than it is about logic as a system.