I'm running an Icom IC-7000 HF/VHF/UHF rig in my 2000 TJ using windshield antenna mounts from ARIZONA ROCKY ROAD ANTENNA MOUNTS FOR JEEP WRANGLER, UNLIMITED AND LIBERTY
with great results.
My dual band antenna is the Comet CA2x4SR. It's designed for search & rescue and is very widebanded and durable. I have a couple of these on different vehicles and have never had a problem with them.
I think your Kenwood was probably a TM-V7A. I'm using a Yaesu FTM10 in my other car. It's made for motorsports and motorcycle installations. The head is detachable, waterproof and can even be used an a hand mic as it has the PTT and mic in the head. There's a hand mic and connector kit available, which I use.
You can see pics of my install here: Install pics: Icom IC-7000/Little Tarheel in a TJ