I've been reading this thread over and over - various people in Iph4 have upgraded to IOS6 and had the same problem.
Think it proves its not the 5, but more so the IOS.
I have up and down battery staying power but always generally bad.
I've done following -
Rebooted the phone before a nightly charge.
Then strangely enough in the mornings - the battery stays at 100% for a long time - even when phone is used.
Then suddenly it starts to drain.
I've done a few full charges (<20% battery) not by choice but out of necessity.
The other day using Facetime 3G - 10 mins - the battery went from 87% to 61%.
My old and poorly iphone4 had better life than that and it was 2 years old.