There is no binding with poly or aluminum bushings in your springs. As mentioned above, a leaf spring can twist in it's length, just from design. If you rely on the rubber bushing to allow flexing instead of the spring's length, then your rubber bushings will also cause sloppy handling, and eventual wear. A poly bushing removes the play but gives you more positive feel for the road.
Car makers use rubber for one reason, it deadens noise transfer to the car. It does so at the cost of handling.
Swaybars and leaf springs do not fight each other, they compliment each other. Almost every performance car ever made that has leaf springs, also has swaybars. If you want positive handling, you can't do much better than multileaf springs with a swaybar front and rear.