Yes... LCDs are mystical and strange beasts! If you can find the model number of the LCD and google that and 'LVDS' you might be able to get somewhere. You could always message eBay sellers (although their info might be a bit biased). Alternatively, even if you could just find some info on the LCD you might be able to get one on eBay with the same dimensions, or failing that get a similar one and hack it to fit.
If you did go down that route, then you might be able to use a pi zero to fit inside and it could actually look pretty good.
This hackaday forums post has some info on the bits involved. It seems that the keyboard and trackpad are I2C devices, so if you could reverse engineer the chips used then you'd be able to use them natively! I think that some lapdocks have touchscreens, so you might be able to use this adafruit breakout to get access to that. It might even be able to do something with the raw trackpad signals (but may very well not).
In terms of LVDS boards for LCDs, if you're buying both new then I really reccomend buying them together so that you know they'll work. But again, some googling of model numbers will get you far. Keep us posted!
That reminds me, I still keep meaning to put a Pi inside that iMac G5....