I'm not sure if I found the full cause or not, but I ended up uninstalling all battery monitoring apps (GSAM Battery Monitor and Battery Monitor Widget (I forgot I had that one installed.) I also noticed that Android Weather & Clock Widget was listed in the battery usage screen, despite the fact that I didn't have the widget installed, so I uninstalled that as well. Battery use is still higher than usual with JB today, but the phone is not being held awake all day as it was yesterday. (I also had a problem where my trusted BT was not skipping the lock screen, despite the fact that the device was connected, but that's been better today, too.)
I've also disabled the Motorola ID and the Moto locking/wiping in the Administrators screen, as I have Android Device Manager so I don't need two solutions. I'm not sure if that was causing any battery drain, though.
When I have time I think I'm going to factory reset and start over from scratch, but that may not happen until after the 1st.