I don't own the CZ cars. Just speaking from experience of doing many scale coupler conversions on a variety of cars. I never had any issues with the Atlas adjustacouplers. My biggest gripes was they wouldn't mate to a stock 3 rail coupler, the centering spring was way to stiff, and they wouldn't work with the Kadee magnets. I have a few sets of these couplers and would be happy to swap them out to a Kadee spring and ship them to you to try. This would eliminate your thumbtack issue. Atlas looks like they tried to solve the age old problem of offering both 3 rail and scale couplers on the same model truck. Seems the 3 railers got the quick fix were as the scale guys simply body mount a coupler or use the scale coupler and box that fits the 3 rail mount.
If you decide on using Kadee's. You will need to fabricate your own mounts. It seems like you could bolt a piece of brass or aluminum stock to the Atlas bracket. Then drill mounting holes to attach the Kadee box and coupler. A lot of work for a fleet of cars.