Slight engine missing when the head lights are on!

[alia176]

This is a new one for this car. While I'm sitting at a red light, if I turn on the side marker lamps or headlamps,, the engine starts to miss. Not bad enough to stall the engine by any means, but you can feel and hear the hiccups. Turn the lights off, everything is silky smooth.

Obviously, a possible short somewhere but has anyone experience this before? If I recall correctly, this is similar to the crankshaft position sensor doing something similar. The shielding on this wire is exposed so perhaps an EMI is being created? Just a shot in the dark!