I have tried this too.....when you update make sure you also flash the gapps or you will encounter system uid inconsistencys.....I learned this the hard way
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Current Device: Samsung Galaxy SIII (SGH-I747)
ROM: Stock Touchwiz Rom
Kernel: Stock 3.0.31-2024954
Previous Devices: Motorola Droid 1, Pantech Crossover, Motorola Droid X, LG Revolution, Sony Ericsson Xperia Play (r800x)