OK, I studied the single LED section thoroughly. Of interest, but not really pertinent is the fact that his mains are 230 vs my 115, his frequency is 50 vs my 60, and he made a mistake in transcribing the capacitor value as 0.0000001 instead of 0.000001, but his result was correct.
First of all, I have to wonder why he uses a full-wave diode bridge instead of two LEDs back to back like the OP did. Wouldn't that be much simpler? His calculation of the cap to limit the current is correct. The OP did not give me the max current of his diode, but with 1uf, it will need to be 60 ma. If that is too much, the cap will have to be reduced in value.
The 220 resistor has me scratching my head. He says it acts like a fuse in case the cap blows. I think the LED is going to act like a fuse and the resistor will be the last component left standing, right? I don't know what a resistor does for harmonics because it is frequency independent. If he is worried about line harmonics, he should get a filter. And what is a 220 ohm resistor going to do for a transient? Notice he did not do a transient analysis like I did, so he does not mention how quickly transients die out due to short time constants.
In conclusion, he uses components like the bridge and a resistor which I don't think he needs. His circuit uses more power than the OP's circuit does. Other than that, his calculations appear to be correct. By the way, notice he does not put a resistor across the capacitor.
Ratch