Permanent magnet charging systems (like the 350) don't need as much juice to work. In fact, I've seen a few really well maintained bikes with pm charging systems start without a battery. The fours have a large field coil to create the magnetic field, basically large electromagnets that require a fair amount of juice to operate. Even with a large capacitor, it would be a pain to ride. Every time you dropped below 2500 rpm the capacitor would discharge, and if this happened at a light in traffic you'd never get it started again. The alternative would be to never let it go below that, which would be somewhat dangerous in low traction or heavy traffic situations. It could be done, but there are probably better ways to lose weight. A set of mags would save more, a four into one system, ect. would work toward your goal of cafe racer while still being streetable.