Hey guys,
I took my phone to the Genius Bar today and we came to the conclusion that my backup that I loaded from the cloud was not meshing with my new phone and/or iOS 6. A tell tale way to know if you have a software issue is to look at your usage and standby time. If they are really close to the same, but you haven't been using your phone much, then there is a faulty background process going on.
The solution is to NOT load your new iPhone from back up. Here are the steps that 100% fixed my problem.
Connect to your computer and iTunes.
Do a reset by holding the home and power button.
Right when your phone turns off, let go of the POWER only.
iTunes will then recognize and iPhone launching in recovery mode.
Restore the factory settings as prompted.
Load every thing individually from the cloud, iTunes, but don't restore from back up.
It takes a little extra work but my phone is a juggernaut now.
Hope this helps.