Welcome back, Punjabi New Yorker.
No issues with a soft top on in the winter. I hit the auto start let it warm up and by the time I get outside to clean it off the snow just slides right off the top with a broom. Inside is just as warm as my wife’s Acadia.
I have the soft top. I'm in GA now, but I'm familiar with the snow in NY. The current soft top is very robust, not like the one on my old YJ. I wouldn't worry about snow on the roof of the JL.
Are your halogens recessed? If so, that would provide an apples to apples comparison.I knew I should have taken a photo yesterday!
I've got the LED group, but I installed some 6" amber lights on the bull bar that are halogen, specifically for winter weather and the heat they produce. Yesterday I was driving off the mountain in another blizzard and stopped to clear 1/8" of ice and frost off of the headlamps and factory fogs (all LED)... only the halogen lights were clear, because of the heat they produce.
If you live in an area that gets serious winter, avoid LED's. I don't do it enough to switch, but if I did it all over again, I'd skip the LED's.
Best part about a soft top in the snow is you just have to get in the Jeep, push up on the top and the snow comes right off, espcially when driving past the house of your neigbor who's dog keeps peeing in your yard. No need to stand outside in the snow anymore. This is my third Jeep and third soft top with no issues. Now, salt on the plastic windows, that's another story.....