First I would like to say that your idea of a trauma car-FAK is a very good idea. A car-crash is a good place for many people to get very hurt.. I've got one myself.

Your list also seems good. Some things you should add:

- Gauze, lots of the stuff. Make sure you have 4x4 and kerlix-rolls. The more, the better
- more gloves and a pair of working gloves
- flashlight and safety-vest
- lots and lots of tape. a Roll of Duct-tape is also usefull
- blankets, both wool and mylar


Also, realise that quick-clot and CAT are last-resort means to stop a bleed. Use them only when all other methodes fail.