As a laptop engineer I thought about this many times in the past.
Problem I found was the -(ve) voltages on the power connector, and if I couldn't find a way to run it off batteries I never would have started.
One day, maybe one day. Have quite a few scrapped cases, just a matter of finding the right one that would sort of fit. And then spends 100s on various trinkets like keyboard adapters and PS/2 mouse adapters etc etc.
Getting a suitable 1/3 height floppy to work with the Amiga may have been an issue too, didn't get that far. I'm not really a DIY electronics whiz though, I only fix/replace what's there OR I sometimes fix actual LCD screens by replacing the active matrix or backlight.
Someone will do it properly one day though with a REAL Amiga, a PC or Mac with something that runs a flavour of UAE in order to play Sword of Sodan is not an Amiga though

Best bet is either CD32 or A600, unless you want to take a blade to an A1200 m/board and solder the bit you cut off!