Had the same problem and I'm with Lumpy and Gert. The pivot centers were closer than the axle perch centers. This caused the springs to angle out as they approached the shackles. My axles were 3/8" outboard each which became 3/4" each at the shackles.
I had the OEM shackles and they were angled out when I started. It didn't matter whether they were conical and the new Warrior were flat. It was a center to center issue.
I had new perches welded to the axle to align with the pivots. In my case, this helped, but did not entirely correct the issue. After 32 years of being misaligned, the springs had taken a set. I finally swapped the left for the right spring and now the shackles angle slightly inboard. If I were to install new springs, they'd be perfect. Of course, you are using new springs already, so aligning the perches should solve your problem in my opinion.
My rear springs, bushings, and shackles were all completely frozen. By installing the new bushings in the pivots and new shackles everything moved for the first time in probably decades. The interesting thing is that my
CJ7 would skid in flat turns over 40mph and felt like it wanted to roll over. I also had that dead spot in the steering. After freeing up the rear suspension, my Jeep just settles into flat curves and the dead spot in the steering is virtually gone. Didn't expect either. I'll be doing the front bushings this winter.