2001 XJ AC issue
#2
Beach Bum
My 1996 had the same issue which turned out to be the AC clutch. The clutch pad thickness gets reduced due to wear. Once it gets hot the gap is too large to engage. I removed one of the shims (washer) to reduce gap and it worked fine ever since. Will have to search for the procedure and recommended gap size.
#4
Beach Bum
Following is a youtube video for removing one of the three shims. I forget what the specified gap is supposed to be.