I've done some researching and went out and asked people at stereo stores and automotive shops. If I purchase the inverter, it will kick some power as well. That will take care of the battery issue. and that way my PSX will use the inverters power and the battery will be fine. Tommorow I am gonna install tv. I already have the flexible mount on. The RCA Sound output will connect into 1 of the amps Sound input and that will take care of the sound as it will play through the system. The video is taken care of as the RCA output video wire comes out of the TV itself it will connect to the PSX Via video cable.
Will take pics as soon as it is in and running
peace