Buying a jeep for the "handling" is like buying one for the gas mileage.
That being said, get some new front struts and rear shocks. The Bilsteins that came with my JBA lift took care of the mushy , soft, and bouncing around you describe.
Not sure what you mean by "doesn't turn too terribly well" as mine has a fantastically tight turn radius. If you mean that you cant do the emergency lane change test you see on TV , that's from the deliberately slow R&P steering that was probably engineered that way to keep you from rolling your "dangerously top heavy" SUV. Adding poly bushings wont improve on your still new rubber bushings as much as good shocks and struts will. They will however make the harshness of the road's cracks and potholes much more unpleasant.
What are you running for tires?
I guarantee that you will like your vehicles ride much better with a good set of shocks and proper tires than all of the poly razzmatazz you can find on the innerweb
91 YJ Sahara, 4.0L, AX-15/NP231, D30/D35@3.07
12 Cherokee 4x4,3.7L,42RLE/MP1522, D30Mfirstname.lastname@example.org
"Non Vi Sed, Arte"