I have aftermarket LED headlights and a shorty antenna with no issues.
On another, related note, about 5-6 years ago I had to replace the main circuit board in my Lift-Master garage door opener after I installed LED light bulbs in it. The incandescent bulbs went out, so I put LED bulbs in. If you're familiar with how a "rolling-code" garage door opener works, I found out thru Lift-Master (Chamberlain) that LED bulbs operate within the same FCC approved frequency range as the opener remote that's clipped on the visor of your Jeep. So, what happens is everytime the light bulb goes on it changes the opener code and while you can manually reset the opener remote, as soon as that light comes on again, it'll need to be reset.
The workaround replacement circuit board cost me $80.
