But "God"? A name that is just a proper noun version of a noun? I not so sure....
Infinite power, infinite life, infinite knowledge, infinite pretty much anything else that humans strive for.... sounds kind of like a living hell to me. From what I can imagine (since I am only a man, and have the dreams/imagination of a fairly standard man), I would be bored to tears with all that influence on the universe. Just take a look at Q from Star Trek: TNG, he skips around the universe just trying to find some good entertainment worthy of a god, and yet he hardly seems satisfied with whatever it is he does find. The best thing he can come up with is keeping the universe from being destroyed by meddling yahoos of all different species, and toying around with those yahoos in between existence-ending prevention activities.
Dr. Manhattan seems pretty miserable too, for a blue super being. What with not even being able to really.... do anything. As far as his psychology goes, anyway. Even The Doctor [Who] spends his time keeping Earth from falling into oblivion by every means possible +1.
Let's explore my interpretation of the mental state of "God", shall we?
Let's start fresh, like I was just born yesterday, but I have the capabilities of my adult mind.... that's what I interpret to be the best way any of us can get to imagining being "God". Pure minded (untainted by the human experience), but highly intelligent at the same time (some of you may not qualify for one or either of these

(Let me guess, the mental state of "God" is unknowable and therefore a moot topic, right? Well, let's just humor me for the purpose of understanding this entity better, please. This entity that "anybody who's anybody" seems to love so damn much, and is "completely attached to in every way possible". (psst, your weewee is attached to him too, better get that checked out))
First: What is there to do when you're immortal / infallible / invincible? First thing I would want to do, personally, is learn everything I possibly can about everything so that I can make sure I stay that way. Kind of like Dorian Gray, without the homicidal tendencies.
Wait, I'm already omniscient so I know everything that there ever was, is, will be, and why. Goddamn, if I say so myself.... this is starting to look pretty bleak. Suppose I should increase my power, that's always fun.
Huh? I'm already omnipotent? Well, doesn't that beat all? OK, then I guess I'll build some crap to pass the time.
Oh, I built everything already. Not only did I build everything, but I built it so that everything that is ever going to happen will happen in exactly one way, absolutely nothing is random, and I already know everything about it anyway, so it can pretty much run on its own for an extremely long time (eternity?) without my messing with it. As long as I exist, it will exist. After all, I'm infallible.


I know! Maybe if I just go to sleep / tinker around with another part of the universe / stop existing / never existed in the first place / don't ever do shit something interesting will happen that I won't be able to know already / predict / do myself / already create. That should be fun!

Gee, who / what created me, where did I come from, and/or what the heck am I technically? Hah, that's silly, why would I ask myself questions when I already know the answers to everything!
Gee, I can't seem to stop this Satan character from doing whatever the hell he wants.
Gee, I can't seem to stop ANYONE from doing whatever the hell they want!
Gee, I sure don't like that! I can still KILL EVERYTHING ON THE WHOLE FUCKING PLANET. (e.g. great flood)
Gee, that certainly was nice. I'm a good guy, I'm sure everyone will agree.
Everyone being all the animals on the boat (humans are animals too, just FYI).
Woo wee! That was exciting, what with not being omniscient, omnipotent, or infallible for a while there. Hm, curious....
And that, my peers, should lead you, by the nose, to the conclusion that makes me a "Godless Heathen". That at least the Lord of the Rings was consistent with it's mythology, and had a third book to wrap things up.
Who cares about theoretical/philosophical question loops like "if you can do everything, including the impossible, can you make something that is impossible for you to do?**" Having faith is by definition (number 2) believing something that doesn't have to be real, be factual, be right, or even make any sense at all. Why do you think they put faith on such a high pedestal? Because it keeps you in line, on your knees praying, and paying a local church kindly so that they can pay off the loans on all those nice looking bricks they build churches out of these days. Sounds like MY kind of club.

*Be careful not to get punched in the face by the statue's raging erection when you bow down to pray to it. No one said worshiping a bad ass god wasn't dangerous.
**The easy answer to that question is that I would create an alternate reality in which I am unable to do something, enter that reality, attempt to do that something, fail.... and return quickly to the reality where I am all powerful before anyone realizes that I'm proving a mind twister question wrong. I'd be fast because someone would probably try to kill me or something. If we learned anything from the story of Jesus, it's that when people learn you have anything to do with a higher power, you gotta GTFO or get your ass handed to you anyone, AND everyone, that's jealous of that power.