I'm not so expert in each of the finite model specifics beyond the title year of my own bike ('55), and I'm on a train right now, so can't do research, however, I thought the 1960 Rocket Gold Star used the half-width rear hub. I assume you have a brake pedal pivot hole on the left where pillion loop meets downtube. Personally, if you have the half-width rear hub, it might actually be better to keep that setup. Rear brakes are less critical than front, as you know. Many have complained of spongy rear brake due to the cable connection (stock, it's not a rod). At this point you are choosing between a tricky ream job and a gruelling removal of silent-blocs. If you want a rod on the right, that's a whole additional task. BTW, the brake pedals are different, have acquired the correct pedal for full width? Anyway, saying more belies my claim of ignorance and might be wrong anyway. Anxious to hear what you will do.
Richard L,