TFT LCD panel product no.FH12A-40S-0.5SH(55) (Or Psp 1001 screen) to Xbox VGA
The LCD is not compatible in any way with the Xbox 360 VGA.

VGA is an analog system, the LCD screen is digital.

You will require a system which can sample and interpret a VGA signal into a digital form, then output the right LCD signals to drive the screen.  It's not a trivial task and requires in-depth knowledge of both the VGA signalling system and the LCD screen in question.