Answering my own question here. I figured out that of the eight colored wires leading to the LED strip, the yellow wire is the common positive, and the others are negative. (Sound familiar?) I put an 82 Ohm resistor on the illuminated anti-vandal momentary switch, and connected it in parallel to the yellow wire and the green wire. (I chose the green wire pretty much at random.) This worked, but the upper part of the blade looks a bit "muddy". Stupidly, I didn't bother to hook the blade up before making the alteration, so I don't know if the accent LED has affected the appearance of the blade.