Hemi Ragtop -- You didn't mention anything about your rear suspension. What setup (leafs?) do you have?
In my opinion, you've made a step in the correct direction by installing the .96 TBs, but, they are still relatively weak vs others. I would not reduce them in stiffness - only going to cause increased rise/lift and dive.
As others said, tune with adjustable shocks... as well as tire psi.
I have 1.24" TBs in my Challenger -- yes, intended primarily for autocross and track events -- but still completely OK on the street/highway -- just avoid the potholes and go slow over rail road crossings and speed bumps.