How much difference will it make?

I guess I'll start with some shocks. Double adjustable are fairly expensive, maybe I'll bite the bullet!

Cley
Save the money on shocks. Buy slicks instead.
And as for the spring rate/stiffness rear sway bar question.... that's easily settled. Make a couple passes with it on, then take it off, and see what happens! Can't get much cheaper/easier testing than that!.