InfernoGirl, is your 04 top kind of loose on your 01? I have an 04 on my 02 with all hardware swapped over, including the brackets that hang off of the B pillar and my top isn't as tight as I'd like and it looks like crap
2002 TJ Sport 4.0
3" AEV/OME lifted
Try going back to the original brackets on the roll bar. I used my originals and no it isn't loose, it is louder than my original top, but looseness isn't the reason for it. I'll try to put up a pic after while. The brackets changed in 03 to accommodate the larger roll bar padding, since your pads are smaller you don't need the extra room. Maybe that will help take up some of the slack.
So I got my top today. I love it. It matches the interior a lot better than the black one and it has tinted side and back windows. Woohoo. It's in perfect shape. Also it fits a lot tighter than the old. Don't know why though...
A guy my dad works with bought his wife a jeep in 05 and it came with a hard top and soft top. She has never even put the soft top on and he was just wantin to make space in his building so he sold it to us.