Many years ago, I took the complete rear sway bar setup out of a junkyard '80's Police Diplomat and installed it in my '67 Coronet station wagon. I had to modify the frame brackets because the B-body frame rail is wider than a Dippy rail. This made a huge difference in how the wagon handled. I had no clearance problems with this addition.
A few years later, I decided to put a rear sway bar on my '67 R/T to solve a problem of my rear tires getting scuffed. The tires had clearance around them as the car sat still, but in actual driving, the car moved around on its suspension enough that the tires were getting marked. Since junkyard Police Dippy's were now scarce, I ordered a rear bar from Firm Feel. When it arrived, I was surprised to see that it looked identical to the Police bar I used years before on my wagon.