Never having worked in a cubicle, I wonder: don't those dividers actually help a bit with noise? Sure, I don't expect them to be individual-office level quiet, but still better than fully open.
I used to work in a building where one "open-office" had dividers mounted on the desks, reaching about the screen height, with carpeted floors and some kind of sound absorbing panels on the ceilings. It was extremely quiet compared to the other "regular" offices that only had the carpets.