Omnipotence, Logic & God

Even though these are thoughts in progress, I thought I’d post them anyway.
Darren said (basically) the idea of free will and an omnipotent God cannot logically fit.
I agree. But the topic "free will" is not necessary in this discussion because the idea of omnipotence doesn’t make logical sense on its own. Which is where questions like: “Can God destroy himself?” or “Make a rock so big he can’t move it?” come from.
Which, in my mind, brings us to two different conclusions:

1. God (the omnipotent version, at least) cannot logically exist
2. God is illogical, or better yet, exists "outside of logic".

So... Wouldn’t we expect God to live outside of logic (or “transcend logic”)? Afterall, isn’t logic a human construct based in the physical word? God doesn’t exist in the physical world, or at least, does not solely exist in the physical world so why should he be bound by physical/human constructs?

Anyway, I typed “outside of logic” into google, and found this guy: http://www.vexen.co.uk/religion/god_logic.html

(Who doesn't agree with me)

But I decided to post this before reading his logic, that way I can post a follow-up later (hopefully after I’ve decided why he {not I} is wrong).