FINALLY FOUND SOMETHING THAT PROVES THERE IS SOMETHING WRONG!
My wife's 4S on iOS5 is the first phone, the second is my iphone 5 on iOS 6.
Both were charged to 100% last night and taken off the charger where they sat near a STRONG wifi signal.
NEITHER PHONE WAS TOUCHED BY ANYONE.
Repeat: NO ONE EVEN TOUCHED THE PHONE.
Just look at the usage stats. SOMETHING IS CLEARLY WRONG WITH iOS 6 and/or the IPHONE 5.
I actually hope this helps with a remedy, I'm getting tired of plugging my phone in....if I didn't have a macbook, this 5 would be returned by now.