No, not with their setup. Sal the one who owns the Heffner tt car has been trying to do this setup, but no luck. He even tried to run the smaller disk on the back to make it work, but Stop Tech told him that the bias won't be right and it will lock the back up under hard braking.
SW runs Bear disks all around with stock callipers, and they do fit with slicks and skinnies, and they look good.
I know Paolo got his to work running brembos. However I run the stoptechs and can not run slicks and skinnies. GaryA has the stoptech big brake kit as well and usually has to change out the front calipers to be able to mount the skinnies. Sure the brake bias is wrong...but only wrong AT the track. Your front wheels arent going to be good for much stopping regardless with those skinnies.
It only takes about 20 to 30 minutes to change out the front StopTechs with the stock calipers and rotors to fit the Purner skinnies. For me it is worth it to have a good set of brakes for everyday use. I haven't seen any adverse affect of having stock brakes on the front with the StopTechs on the rear for drag racing. The rear StopTechs seem to fit with the rear Purners without any problem.