Nanotech:
Your idea of 2 volts is not practical for many aspects, one is the rectifiers, if Schottky, will have a drop around 0.45 volts, and if Silicon, around 0.7 Volts.
So you want to loss around 45 to 70 % of the energy in the diodes and I am not adding line losses
The LEDs, WHITE type run from 1.8 to 2.4 volts depending who is making them with different technologies, some are Ultraviolet diodes with Phosphor to produce white light, the equivalent of the fluorescent lights conversion scheme.
The LED diodes are NOT voltage devices ARE CURRENT devices, so they will need a higher voltage source with a current regulator ( the simplest one is a RESISTOR) , which indicates that you need a higher voltage.
If not a resistor because the voltage is low, then you need a boosting voltage circuit with defined current capability feeding each LED.
The solution for Ceiling FAN generator wind mill, is not a low voltage -- you are starting with a very low power system -- but with a higher voltage capable of charging some battery like 12 or higher Volts.
The external rotor of the ceiling fan is thin and difficult to make thinner, unless you have a good lathe or a milling machine and just enough to clear the room for the magnets.
So 30 Gauge wire is going to be out of the question for your project, have you determined the current capabilities of the wire ?.
I stop here, not more "additions" to your project, though there are more, listen to the group and be logical about it.
Nando