What are you defining as street drag cars? Basic sports cars that run the strip occasionally to see what they can achieve/test & tune, but do highway pulls as well? Or cars that are strictly drag-oriented but manage to be street legal like the current Woodward Dream Cruise where they have to drive the cars to each event before participating?
A lot of the big street guys are running twin turbos like my buddy's Nth Moto Viper or the UGR Gallardos/Huracans. Then you have some of the American V8 guys like Vengeance Racing & their GM cars, or the Euro companies such as ESS & their BMW M3/4s that like to run supercharger/procharger setups. It does feel like most of the street cars that like to mix dig racing with highway pulls do lean towards the turbocharged side, but it could be completely different in the realm of tube-chassis/funny-car-esque guys like what shows up on Street Outlaws where the superchargers may provide a better outcome. I don't really follow that side of the "street" racing community, so I can't say for sure what their preferences are.
Honestly, there's no real answer here. It depends entirely on the car & desired setup, which is dictated by the owner usually. Sometimes, there's the factor of what's available or works as well; some guys may only run 1 or the other because their cars don't play nice with the vice versa option.