A daylily the size of yours should be easy to lift and divide into whatever number of fans you want in each clump. I would dig it up and keep pieces of what looks good and toss the rest. Joe Pye is a bear to dig I had an established large clump that I wanted to get rid of, I could not get it all dug up no matter how much I dug. Finally my DH took a ax and finished getting it removed for me, still had to put some roundup on the bits that remained. Personally I will never plant another Joe Pye.
