These cars do handle well although I'm sure not as well as a Z06. I think they're an excellent balance of handling and comfort, I like the higher ride height on my Challenger, it's really easy to get in and out of. I know it sounds silly, but I hate riding on the ground and twisting myself into a pretzel to get in and out of a vehicle.
My Challenger has no problem taking on and off ramps at a pretty good speed, and feeling extremely stable in the process.