Okay, stupid question:
Since the current to the switch will now be "about 120ma" according to the original post, can you use relatively thin wire to the switch leads? I use AWG 22 or 24 stranded for the physical strength. The short runs could be done with #30 wirewrap wire but why waste your time"
Obviously, I'd use the original thick wire for the connection from the mains and transformer to M1 and M2 That is correct even if it looks wierd.
I have some thin solid-core aluminium wire handy-- not labelled on the insulation, and the spool is completely wrong. DON'T waste your time with Al core wire - toss it in the TRASH and buy stranded or solid if you must hook up wire.
Also, looking at the schematic (for a slightly different related model) and the actual unit, there's just a capacitor for the snubber across the power switch. The AC through the cap is a trigger source hooked the the gate of the TRIAC. You can use a web base calculator (if you don't want to do it yourself) for Xc Capacitive reactance at 60 Hz (Xc= 1/2pie F) SHORT STORY toss the snubber in your junque box.