Hey, I'm having the same problem with a 2010 A1286 I own but the logic board looks nothing like that. I think I blew the backlight fuse by connecting a bad cable. How do I find out where the F9700 fuse is located on my particular board? Here is the pic. http://postimg.org/image/wjlsb94od/
That's very good info, thanks! The problem with those rivets is you never know how many will stay and how many will go. If you rip the old keyboard out carefully and at the right angle you can minimize the amount of stuck rivets. Don't be afraid to use force (and perhaps The Force :)) to get them out. I will certainly try the screwdriver method mentioned above. Sounds promising.
As Jon Ridley suggested I tried the keyboard swap using 15in MBP screws. It was definitely NOT a pleasant job to undertake. It requires quite a bit of strength and stamina because you basically have to manually drill through aluminum using your hands. And there are many screws. I would venture a guess of around 50-60 to do. Lots of time and patience. Due to the fact that some of the rivets leave their bodies behind the final creation is a little less sturdy than the original because it's not held in place everywhere. But it's very usable and not bad.