So how to you remove this obviously bugged patch?
Go to your XBOX 360 Dashboard, go to "SYSTEM", then goto "MEMORY", select your hard drive and press "Y".
Once there, on your controller, input: X, X, LB, RB, X, X
This performs a reset of the system cache, where game updates are stored. This will NOT erase your game saves.
Then, DISCONNECT FROM XBOX LIVE, and begin your game of Skyrim. Once you are inside the game, you should be able to reconnect to XBOX Live without being prompted to patch. Be aware you'll have to be disconnected each time you start the game, at least until patch 1.3 comes out and hopefully, resolves this game breaking bug thats affecting everyone.