I added a front sway bar to my truck and it made a dramatic difference when cornering. Adding just the rear can be tricky. Dad added rear only to our 9 passenger '65 wagon. By the time we made it to grandma's house, he had enough. On the way home, the bar was inside, riding on the floor board. As the wagon swayed around with 7 kids & two adults and luggage, it would try and steer itself. I never understood why they do that, but I never have tried just a rear bar on anything since.
Joe