I've done street radial and bias plys on front ans slicks and drags on back
I've could not perceive a difference but I've been told its not a good idea
For me it was more of what did I have that fit at the time also some of the radial skinnys (I think) have poor top speed ratings. I a told for 1/4 mile speed rating is not as important for front as its not a sustained speed so less tim to overheat???
if it was as unsafe as some people make it out to be, the NHRA, IHRA, and every other drag racing sanctioning body wouldn't allow you to mix bias and radial tires on the same car.