Unless you have some huge and fully drained batteries the low voltage output from an alternator is going to realistically limit you to 10 or 15 amps charging. That's why the trailer fuses tend to be only 30 amp when even the smallest alternators are over 100 plus what the battery can supply. Thicker wires will help a bit by reducing voltage drop. Even with thick wire to the battery you just cannot force much current with 1.5 volt differential, and that goes down as charging progresses. You can alter the voltage fairly easy if you can read a schematic, but then you may boil the truck battery.
If you have some other purpose than battery charging in mind like running air conditioning the invertor may work better as suggested above, but I wonder what duty cycle those alternators are rated at, likely they are only rated for hundreds of amps for minutes not hours.