I like the way Bullitt worded his post.
Leaf springs have quite a lot of roll stiffness in them. Spring rates front and rear also have an effect on the amount of roll a car will exhibit in a corner.
The proportion of weight of the car in the front vs. the rear will affect over/under steer as well as roll angle. The relative sizes of the tires will too. If you consider a front heavy car with rear leafs - there is less need for a rear sway bar than many other types of cars.
The effect of adding a sway bar might surprise you, depending on exactly what all the variables are for your car. Remember that the front and rear of the car are connected. You can't have different roll angles front and rear. So, like Bullitt said, if the front has more roll stiffness than the rear (for instance), the front tires will be working too hard - results in understeer as stated above.
Remember also that when you step on the loud pedal more weight ends up on the rear of the car. Vicey versey for the brakes. This has a marked effect on over/understeer characteristics of the car. I've heard of this thing called "trailing throttle oversteer".

Edit: to be a little more clear, if you get the car too close to neutral handling (neither over- or understeering), then step on the brakes (or maybe even just let off the throttle) in a corner - you might end up going backwards.
If you were setting up a race car (which I've only read about, not done), from what I understand you want adjustable sway bars. That way you can test the car... drive it and adjust the bars based on the feel of the car. John (Opentracker) knows a heck of a lot more about this than I probably ever will.