I wouldn't say this is normal. The TJ has the antenna in the same area, and I ran windshield lights with no issue. Could it be related back to the CANbus system again?
How are the windshield lights run, directly to battery or sPod or hacked into the factory wiring?
I'm curious if this also happens to non-LED lights too in the same mounting area.
Could also be the ground to the antenna is not good, or for that matter, the wire itself is low quality. I'd try tapping a ground to the antenna, wrapping the stock antenna wire, and just messing around in that area first.
2013 JKU Sport, billet, auto, 3.73, LSD, 315/75/16 Duratracs on MB 72, 10A springs, Bushwacker flatties
Sold - 2005 TJ, red, auto, 3.73, 33" Duratracs, 4" lift
Ice storm casualty in 2007 - 2003 TJ, green, auto, 3.73, 33" Duratracs, 4" lift