With LED units you can just lay them in the outlet against the diffuser. Just for yuks I tried velcroing them to the reflector, but the board wouldn't stay. Maybe I needed industrial velco to resist the vibration. The LED's don't get hot enough to bother the plastic diffuser.
You shouldn't have to change the wiring at all. On some earlier units, if the LEDs didn't come on you just rotated the bayonet 180 degrees. That doesn't seem to be problem anymore.
Without adult supervision...
Quando omni flunkus, moritati.
I'm a man, but I can change, if I have to, I guess.