Interfacing to a laptop monitor directly is no easy task - you'll need an LVDS board. Also, does that battery-pack/PSU power the output when charging? or is the load in parallel with the battery at all times? If its the latter, the battery may not fully charge, but I'm assuming it has basic load sharing, making it a 'plug and play' type affair.
Its a nice idea, I still haven't bitten the Pi bullet yet, but was thinking along similar lines whilst making my life difficult for myself by using an FPGA for the monitor adapter.