OK how are you running the LCD display from the Amiga?
I gave up on my own Laptop Amiga project, had all the hardware and everything.
All except a good way of getting a LVDS Laptop display (from a Tosheba Laptop) linked upto my amiga. The only method I could find was a convertor which used 16W itself! (and cost £150!)
(The other thing that stopped me was a lack of any fast I/O from an CD32)