Hello,
I was wondering if other recovery method had worked for you.
I was able to use both methods to downgrade and re-install Mountain Lion. It is not particularly difficult but it does require some time.
The easiest way, by far, is to use a Time Machine backup. Just have a full backup under Mavericks and use that backup to restore the user data to a clean install of Mountain Lion. To do this you would have to do the following:
-Make a bootable USB install disk. Instructions are here :
http://arstechnica.com/apple/2012/07/how-to-create-a-bootable-backup-mountain-lion-install-disk/
-Restart the Mac using the newly created OS X USB Install Disk.
-Erase the hard drive and install OS X (the installer does a good job at guiding you through this, you also have a backup of Mavericks, so worse comes to worse you will always be able to revert back to Mavericks).
-Once the installation is complete, you will be given an opportunity to transfer your data through Migration Assistant at the setup screen, select that option from a Time Machine backup. You will be given a list of items to transfer such as Users, Applications, Documents, etc. Select your stuff and click continue, the process will take some time depending on how much data you have. Once this is complete you will have a clean install of Mountain Lion with all of your information and data restored.
Another option that you can try if you do not have a Time Machine backup is by resizing your hard drive, creating a new partition, installing Mountain Lion on that partition and then using Migration Assistant to restore your data from your other partition with Mavericks. Once you can confirm that everything is working okay, you can then go ahead and use disk utility under Mountain Lion to erase the Mavericks partition and resize your drive to one partition.This does not require a backup but I think it is a bit more risky; I would just use Time Machine for peace of mind. Also, this option requires that you can make a new partition on your existing hard drive that is AT LEAST as big as your Mavericks partition since you will be copying all your data from one partition to another, depending on your hard drive size, this may or may not be an option.