My 12" fugeray does this too. I find that the position of the power cable has something to do with it because when I move the cable it will flicker more or less depending on the position. It's an inexpensive fixture and I wouldn't be surprised if the solder joints that connect the power supply to the circuit board on the fixture aren't the greatest and the movement of the wires is creating a small amount of resistance in the solder connections.
How are you soldering to stop flickering? How are you seperating moonlights to a different outlet?