Well... I can tell you the 2011's & 2012 models are the basically the same. The issue you face is the LVDS cable connection on the logic board as for some reason Apple used a slightly different version of the same connector between the 2011 and 2012 models. The issue is the width of the cable's connector tang is slightly larger in the 2011 models.
So... going the other way you are trying to go (2011 to 2012) you need to either replace the LVDS cable or carefully file the edge a bit. In the direction you'er going you'll need to replace the cable as there is the risk of the connector to short across.
Otherwise you can swap the logic boards!