The logic board won't fit because the new ones don't have a separate graphics processor. Since they have the Intel HD Graphics 3000, the graphics processing is done inside the actual Intel i7 chip. Your current heatsink won't properly mount to the board. Sorry! :(
Besides, the cost and difficulty of obtaining a 2011 MacBook Pro logic board would be so monumental, you might as well forget the trouble of installing and disposing of your old board and just buy a new MBP.
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