Those diagrams are easier for me to understand,
That is as maybe, but it dosn't change the fact that they mean very little to anyone else.
I don't understand what the reed switch is supposed to be doing. Normally it will just be a short circuit and it will open when you bring a magnet close to it.
If you are trying to replace your LED driver with that light bulb then no I would not expect it to work. The ext - needs to be at ground, the ext+ needs to be on the collector of the transistor, then you need to replace the bulb with a resistor, say 10K.
Then you should try putting a capacitor from ground to the collector to smooth the signal. I don't know what value you will need but I would start with 10uF and go bigger if it flickers.