I think it's a great conversion, and looks great all lit up, however I don't know why you need so many LEDs.
For the radio backlight, if you run two thicker tinned wires across the top and bottom of the bulb holders, you can attach LEDs between the two rails. You will only need 6-8 super bright 5mm LEDs to give a bright consistent display. This is assuming you run them off DC. If you keep the AC, you can mount a pair in series, but back-to back, this way one LED will be illuminated all the time, depending on the phase. You need a current limit resistor, depending on the voltage, and while it will only be 1 LED bright, it won't flicker.
With the function LEDs, the same applies, where it is easier to keep the AC voltage and run two small 3mm super bright LEDs back-to-back. Same for the tuning meters.
The dial needle is another 3mm super bright LED.
The power gauges I used a pair of super bright (5mm) per gauge. I fitted them in where the old lamps used to go. I run these off a small DC supply board, similar to what you have done to get DC.
I don't have any noise from my LED conversion, but it's not a full conversion and it runs a lot less LEDs than your set up.