Hello, I have a 2011 pro with a bad monitor and I have a 2009 with a bad logic board but the monitor works great. Before I tear them apart I thought I would ask if they will swap out and work.
Anyway, this might interest you. It seems that it would fit however, the iSight camera and the wifi/bluetooth module will not work.
Taking the display's off is quite easy - I have completed the process many times however, removing the glass with a heat gun to replace the cables, it near enough the impossible.
Out of curiosity, what is wrong with the 2011 MBP's display?