Well, your phone's problems may be resolved by doing what is known as a Factory Data Restore (FDR for short). If you perform an FDR, what happens is the phone essentially wipes from its long-term memory all the basic files and structure that make up the Operating System, then re-writes them from an archival storage, and recreates all the necessary configurations to perform all the functions it was designed to do from the Factory (hence Factory Data Restore).
It has been found that many times problems which have arisen from the Over The Air (OTA) update to Ice Cream Sandwich (ICS) have been resolved by performing the FDR. Some have found that performing a wipe of the Cache (performed from the Recovery Menu) can have an additional overall beneficial effect. Some have also reported that the first time they've performed the FDR, the problems resurfaced, but upon performing the FDR a second time, the problems have gone and appear to have remained permanently resolved.
Finally, although you indicated that the battery will heat up and shutdown to reboot, which would certainly contribute to excessive battery consumption, it is advised that after the OTA update, you perform a Meter Training as it is believed that during the update certain high and low battery level "flags" are wiped and returned to factory defaults and these defaults may not accurately represent the true charged and discharged levels of the battery except at the time of manufacture, which can result in the charger not properly or fully charging the battery, and/or in the meter not accurately reflecting the true state of the battery's discharge levels at any time. This can manifest itself as batteries that seem to discharge rapidly from a full charge over relatively short time frames, and also in batteries that seem to be holding a charge one minute, but suddenly will go dead without warning. It can even result in batteries that will not respond to the charger and phones that will not power on or will bootloop rather than powering up fully.
When you have the next opportunity where you won't need the phone for 3 hours (Droid RAZR), or 5.5 hours (Droid RAZR MAXX), please perform the following Meter Training.
- Power the phone off (press and hold Power, then select "Power off" from the menu)
- Plug the phone into the STOCK Motorola Wall Adapter and STOCK Motorola Charging/Data cable (the phone will respond by booting into a "Charge Only" mode)
- Once the large animated battery appears (Green liquid for Gingerbread, Blue floating level for Ice Cream Sandwich), it will display a "liquid" level and percentage of charge.
- Allow the phone to remain on charge uninterrupted for either the 3 or 5.5 hours depending on the Droid RAZR model, or if you wish, you can briefly tap either Volume up or down to activate the large animated icon, and you can check the progress. Make sure you do not disconnect until the phone is reporting 100% charge level.
- Once fully charged, remove from the charger, power up normally and use as you would routinely during the day.
- Please pay close attention to the battery levels as they near 15%, as you will be repeating the initial charging process above just one more time soon.
- Once the battery reaches 15% (Gingerbread), or 10% (ICS), and the display pops up a notification of "Low battery" and recommendation to place the phone on charge, repeat steps 1 through 5, after which you are good to go for the next 2-3 months.
If you ever sense that the battery seems to not be providing the expected performance through a day, and the phone isn't otherwise exhibiting any signs of excessive power consumption such as heat up, or a rogue application or service that suddenly appears to be using huge percentages of total power consumption, you can perform the above training again. However, it is generally recommended that you perform this training procedure about once every 2 months (Droid RAZR), or 2-3 months (Droid RAZR MAXX). This should keep things moving along nicely and you should be able to depend on the phone providing you with the needed day's worth of power.
Finally, if you ever expect to need an assurance of the maximum charge the phone can handle, such as when you expect to be away from any power sources for the coming day and it's critical that the phone last, power the phone off before charging and you will start fresh with a battery that is truly holding 100% of its capacity and the meter will be representing accurate levels going forward.