An anti roll bar will not help if your ride height is too low or your springs are too soft.I had this problem also. Everyone would say "your car is obviously too low" when it wasn't. I tried stiffening the dampers to maximum and no change. In the end the cure was to fit a rear anti-roll bar. It worked a treat!! I used a KAD one as the rest on the market look crap! Hope this helps.
Having had exactly the same issue as the this guy, I can assure you it does!! It may not be what an anti-roll bar is designed for, but it solved the problem. I can even soften my dampers right off so I get a decent ride quality.
can not help with the original posted issue. it can help in cornering by transferring the spring force from the inner side but in a compression there is nothing to transfer as both wheels are moving together.