You have 7 leafs in those springs. That is a very heavy duty or "Severe" duty set up as CJs came with between 4 and 7 leafs.
Unless your CJ is loaded up with the V8, hardtop, winch, huge bumpers and a dog you will not get enough load on them for them to bend. I see you have a V8 auto but otherwise the sprung weight (that is everything above the springs) does not appear very high as you have a canvas top and skinny bumpers etc.
This may be the source of your problems. You may find it rides a lot better with only 5 leafs and that someone has grafted on full size size pickup truck leafs that are meant to carry a lot of weight.
However I would also sort out the shackles, get them stock length, and position the hangars at the right position. Then you might get some flex. If you are going to replace them get the military wrap option so it is a complete eye on both ends, they will not break so often.
BagusJeep lives in Bali.
1981 CJ7 258ci - Bagusjeep
1984 CJ7 258ci - Puthijeep
1981 J20 258ci - Gladys
1951 Willys CJ3A/MB/M38 - Little Willy
1995 Cherokee 4.0 - CHEROKEE