I've been through this, swapped out everything for new parts (points, condesor,cap, rotor, wires, plugs, carb rebuild etc etc etc) and still couldnt get it reliable ...really, get a pertronix module and matching coil and be happy. it solved all of my starting woes, I can now drive and not worry about stopping at a store for a coke and not have it start for 30 minutes. It fires right up, cold or hot, no problems and I can enjoy/trust my car again.
For those that care about looking original, everything is hidden under the distributor cap and the coil even is black and looks factory.