I have reverted an revised changes which Sharkbite217 undid. I assume his reasoning for the undo was because the added info contained Gogs projected involvement in Final crisis (something that seems obvious, but has not been officially announced.  I removed all predictions and made the added info stick to only the facts given in JSA #14.  I did like the addition of the fact that the origin of Gog in pre-infinite crisis does not match this current version.  Now that the addition has been fixed, I hope that anyone who edits this adds two it and does not simply revert it.  If you do revert something, explain your reasoning so we don't get into and editing war.  Thanks   
 
It is important to note that there have been three different origins for Gog. And all three characters made it to the main D.C. continuity.  His Hyperspace spanning, Time traveling, Multiverse jumping nature makes this character inherently hard to grasp when looking at the multiverse or even just the main DC universe. 
     
First, from the Kingdom Come timeline:  He Survived Kansas's destruction. Given powers by the Quintessence, he stole Superman and Wonder Woman's baby, went back through Hypertime killing Superman over and over again.  He was defeated in the Main DC continuity by Kingdom Come and main versions of the heroes.  

The second version of Gog was basically a homage to the first, but without the tricky use of Hypertime and the Kingdom come continuity.  He survived Topeka's (only) destrucion.  He kept going back in time and advancing his work over and over.  This Guy made it into the pages of Superman comics.  

The third version is the one in the current run of JSA.  He claimed he was got his power from Gog, Last God of the Third World.  And he complained about all of kansas being destroyed.  This origin actually resembles the first more than the second.  This makes it likely that he is from Earth-22, like the superman in JSA.  It is common for the new 52 Earths to resemble previous DC comic's Elseworlds, but have some differences.  It has already been shown that Earth-22 resembles Kingdom Come, but has some slight differences.  This explains the Kansas destruction being the same, but the change in his power source being from quintessence to a Third World god. Although time will tell if this is right, it does seem like the logical conclusion.  Someone can add this to the article when it is revealed in the pages of JSA.   

To answer the above question, the Quintessence were fooled.  Phantom stranger thought that this man, who came out of the Kansas massacre, and started a Superman Church, would be a good representative of the values that the quintessence hold. But they were mistaken (gods a fallible in comics).  The guy snapped after getting the powers, went a little nuts, and killed Superman over and over.  The quintessence decided not to take back their power, but I am not sure if they explained why.