[Chrysler kid]

I can kind of relate.

In my camaro when running 55watt his headlights the wiper motors which were on completely different fuse panels and power wires, would trip the wipers descend function to lower into non use position. I believe it was too much current being put through the switch and the wipers which are on that column were being triggered by the extra current.

I think yours is the opposite problem, the bulbs are not taking enough current so the switch is not signaling to the fogs to work.

Again I'm not sure how your fog lights are wired, or if they are wired independtly.

Best way to trouble shoot is to see if the problem goes away with halogens, if it does you could measure the bulb resistance at the socket for the led and halogen and possibly use a resistor to even the current out for the led