someone else may correct me, but i think just putting a small capacitor inline with the switch will give it a momentary 'on'. Peale will have more info there as he was using a capacitor for his start-up switch which also needed a momentary 'on'. see the sketch. the LED part of my sketch im not 100% sure about since i don't know how much current a KE can draw, even though the LED (which may be drawn back-to-front in my sketch) draws hardly anything.
i'm sure someone else can verify whether this will be ok. if not, then a double pole, single throw toggle will do the trick by keeping the LED circuit completely seperate from the key circuit. this keeps the complexity of the whole thing nice and simple (",)