If I've learned nothing else over the past dozen or so years that I really started reading the Bible in earnest, it's that logic and religion are 100% incompatible. And in your very question, you say that logically that statement says that God created Himself. And that is EXACTLY what it logically says - if you take that statement at face value, and consider nothing else.
I'm not sure that that statement is particularly Christian, because quite frankly I've never heard that taught in any church. I think that you've pretty much answered your own question by the person to whom you attribute that quote.
As a general rule: Y/A users do not speak for the "official" Church - or anything else. All you're ever going to get on Y/A are a bunch of individual interpretations - at least in the R&S section, which, quite frankly, is why I answer mostly R&S questions. Occasionally, someone may get on here claiming to be someone of authority, and he may indeed be a pastor by trade, but inevitably he will be someone low down on the ladder who also merely gives you his own personal interpretation.
Bottom line: If you ever have a "logical" problem with something, don't ask about it in the R&S section, because you will never get a logical answer from a religious person.
As for the phrase itself: It's about as logical as the Big Bang theory - the creation of something from nothing. LOGICALLY, there are only two choices: Either God existed from the beginning, or he was created. If he existed from the beginning, then it was he who created everything else - either directly or indirectly (one of his creations creating other things, etc.).
If however God were himself created, obviously something else must have created him. But it is impossible that he created himself, so something must have existed prior to God's creation.
This naturally would go on and on, but still: SOMETHING must have existed from the very beginning - unless, of course, you DO believe in the logical impossibility of something coming from nothing.
Therefore, what it comes down to that it's either something from something, or something from nothing. I personally find it impossible to believe in the latter, which is why I LOGICALLY believe in God. And, since then it was God who (again: either directly or indirectly) created everything, then I can see a logical consistency to saying that God is in all.
Just like somewhere in you are your great-great-great-great ... grandparents - all the way back to the first humans, who themselves sprung from God's creation somehow.
Now, if you believe in something from nothing, well ...