There were three transmission choices for '48 half tons: light duty three speed, a Ford tranny (resonably tought if not abused); heavy duty three speed, a Borg Warner trans (I don't remember which); and a four speed "crash box" granny gear, a Warner T9. The light duty three has a shifter that tapers down as it approaches the shift nob. The heavy three and four speeds have a thick shifter that doesn't taper.
The easiest way to do a 12V conversion is to change generators. The '56 and later 12V Ford generator will bolt onto your motor if you swap the pulley, front cover, and rear plate from your 6V generator (or in your case I think you can just bolt it on with the strap. It looks better to swap things though). The stock wiring, if it is usable shape, will handle 12V just fine, as will the switches (but not reostats, like heater). You have to add resistors on the feed wire to the gauges. Change bulbs and you're done. But why? If it starts hard, fix the engine or starter. If the lights are dim, fix the wiring. I have driven 6V cars daily, withing the last five years, and had no problems. Now if you start talking about adding air conditioning... go 12V.
I forgot to add: you need the regulator to go with the 12V generator (obvious) and you will be switching from positive to negative ground so you have to reverse the wires on your amp gauge.