Thats the biggest problem with the Z28s, TA, C5 vettes etc on the street. From a dead stop they have a hell of a time getting traction. Its almost a garenteed win up to 60-70mph or more.
I always look at the back tires of the car I'm racing. If they have regular street radails there dead meat. If I look back there and see a fat set of drag radail or ET streets, I know they are serious about racing and going to be interesting.
I used to have a 94z28 and then a 99z28. I can't tell you how many races I lost smoking my tires leaving the line. It can be very frustrating.