Snyders's & Lang's and possibly others, have an LED type bulb to fit the burner base but I don't know if it fits all the different manufacturers of the gas powered headlamps. On kerosene side & tail lamps, I don't know if any conversion stuff is made but I know folks have converted their own, Chaffin's Garage may have something to this effect but I don't see anything but the older Halogen headlight conversion lamps in their catalog. They would use more current to operate a halogen.
Is the car generator capable or not? Ford ran higher voltage headlight bulbs off the magneto for a time till generator equipped cars came out around 1919. An LED set up could work. No generator would require a total loss battery electrical system that would have to be charged after each use,