Electrically this is doable... But keep in mind that this is a "Keep Alive" Battery designed to power just a few key circuits in the truck's computer memory if you de-energize or disconnect the main 12v battery. I had an experience recently. I took my PB in to do a transmission oil change. The...
Here's a reference for the "Separately Derived System" issue and what grounding is or is not, required. As I read this the F-150, if connected properly with a 4-wire cable, does not fit the description of a separately derived system...
hullguy's assertion of a violation of the NEC by removing the neutral-ground bond in the house panel is wrong. So long as the neutral-ground bond is maintained in the truck's generator and the ground to earth in the house is sound, the NEC is complied with. The NEC requires a neutal-ground bond...