I broke a half shaft with no LSD and hoosiers at the drag strip. I was running 11.9's and I have continued to run it at the track after fixing it without any problems. It broke when i was staging. I started my burnout and the track official stopped me because they spotted oil on the track from the previous car. After they mopped it up they told me to go ahead with my burn out, the tires were already somewhat warm from when I started the first time and it immediately broke my half shaft. Just make sure that you only heat up slicks one time and that is it for that run. Hotrod runs most of the fastest times and I believe that he doesn't have an LSD either so it should not be a problem.
It cost me $130 for a used half shaft.