Do you have limited slip? Are you running a separator plate behind your rear seat (sometimes referred to as a trunk firewall)? Those prevent a lot of body flex.
Torque boxes on both sides are also very important, if you've got an engine that makes a ton of torque, and work to prevent twist in an area where your chassis needs the most help.
Do you have an export brace and monte carlo bar?
Are the bushings on your springs and shackles in good shape, or rotty old 50+ year old rubber?
And lastly, what kind of engine and transmission are you running? Keep in mind, these cars were built originally to handle around 300-350 lb-ft of torque. The big-block cars got a little sketchy, even with the torque boxes and other minor tricks. If you have high numeric gears, and a mean engine making big torque, even the subframe connectors and improvements you've added may be hard pressed to prevent a bit of twist. They are floppy, compared to more modern cars with improved unibody construction.