Soft tops are only good for so much...it is better to keep 'em dry for sure if you can. I used to throw a heavy blanket over the top on my CJ so when I came out in the morning, I could yank it off along with the ice and/or snow. It saved a ton of prep time.
Those cheapo Walmart fog lamps are really, really bad so don't use 'em unless you are just set on it. One wheeling trip and they may not work anymore.
Do a little homework and I will bet you can splice into the harness but I am not a fan of that approach...in reality, if you want some 'real' fog lamps, you will want to run them on a dedicated wire and switch because they will simply draw too much through the factory setup.
Future: '18 WK2 or a JL
Current: '97 ZJ - Lots of mods
Past: CJ-7, XJ, KJ, JKU