It need be noted - and I find it spectacularly daft that theists, (and even atheists), continually fall into this error - that nothing (outside of mathematics and various mental concepts)) is ever 'proven'. No, we cannot 'prove' your specific 'god' exists anymore than we can prove invisible leprechauns do not exist.
For what it's worth, even a god is stuck in the same position. Should all of this be a computer simulation, the god of it would never know that it was just a programmed 'god', that in reality it wasn't even real. It couldn't know precisely because that's how it had been programmed.
This is very naive but we'll allow it for now. Ok, so where did god come from? (Don't fall hypocrite by saying it "was always there" hence, in your own argument, making a "simple cop-out for avoiding the question").
Paraphrasing isn't of any use when demanding that something teaches something. Does it actually teach it or are you just paraphrasing? I presume you're just paraphrasing, (as you confess), something that, (as you confess), you suck at understanding.
Just out of interest, saying there was "limitless light" does not infer the 'big bang', which wouldn't have been "light" at all. In fact, given eyes to see, you would never actually 'see' the big bang.
It's not naive to state t he obvious: Replacing one infinity with another is not solving the problem. I don't have the answer; hence agnostic, not thiest, not athiest (And tbh most of the time I don't care, but I do love a good debate...)
Actually, I did spend time (over a decade ago) in the study of these works. And while you are correct in that one wouldn't see anything during the big bang (at least until the universe became transparent) I tend to think of these things in the following manner:
If I were to try to explain to a backwards people, who are barely able to create fire and hold it, the science behind the universe, I would use terms that they could actually comprehend. In doing so I would be able to relate to them the science that they can't understand, through use of common language. Many scientists today do the same thing when writing a book or a paper or a topic for the general public, they 'dumb things down'.
But the firm treatment that one does or doesn't exist (a god) is something that is beyond the realm of reality, barring such a god from landing on the planet and doing a jig. However if you look at the creation myth from the Judeo-Christian movements, and think, 'If I were explaining science to someone who was so uneducated that it would take forever to educate them, how would I do it' you find that there are interesting correlations, enough that if one says 'This came from god' you might be open to thinking that it is an interesting similarity. It could be completely my knowledge of science that has me looking at it in this way and saying ... yeah I can see how that could be interpreted.
Now IF you take the holy books and say : 1) these are not literal, 2) they are science being explained to uneducated people and 3) are there parallels or similarites between what we now know, and what is being said? Then answer the questions, Can it be a metaphore, for a real event? If the answer is yes it could, there are two possibilities... Someone gave them the answers or they were just lucky. I say its a 50/50 chance either direction.
But absolutism (There IS / Isn't a god) and arrogance over the view point when one is at best simply avoiding the question, is simply uncalled for and unenlightening on both fronts. Rather it would be better to look at the options ponder the questions more.
So my answer to you is : Don't know if there was anything before god, Just as much as you don't know what was there before the Big Bang. Don't know how either came into existance. (For that matter don't know IF either came into existance... but thats more a philosophical debate). But simply saying, 'it was always there' is exactly the same as saying, 'god did it'. (As in, it is NOT an answer to the question.)
Question Added: Go ahead, give it your best shot, explain to stone age people, the creation of the universe. (should I start a thread?)