Sway bar on street strip car yes or no

A stock "handling" rear bar, no. There are drag racing rear bars, designed to eliminate twist on launch, but they seem to be used primarily on factory four link rear suspensions, (malibus, chevelles, fox mustangs, etc).
I don't think he needs one of those for a full culvert rear suspension either.....
but I would never give a flat-out NO, without knowing more about what his car is doing, or why he's asking. Maybe it leaves like that black 1960 impala?
How many Mopars with Cal tracs you seen leave like that twisted to hell black Impala? Come on now.....