no you'd be alright, LSD will do nothing on the drag strip.... auto-xing, you'd miss it...
in fact the two fastest stock LNF cobalts(13.54 and 13.66)........did not have a LSD... but it DEFINITELY takes some getting used to with a manual on the drag strip, ESPECIALLY a front wheel drive one... the 1st car I ran on a drag strip was a 6-speed RWD Z28... the 1st FWD car was an automatic GTP grand prix... this Cobalt is my 1st fwd manual... its why I didn't go when the car was stock... I wanted to wait until I was very comfortable launching it, by then, I had mods on it, so I do not know what it would have ran stock...
but who cares... SS stands for Stock Sucks, right? lol