Yeah, our rule for Woodward was that we'd cruise at night Wed-Fri as not to get cooked. On Satuday, we'd get up and on the road by 7-8am and stop cruising by 10-11am. The rest is just car watching. If we wanted to cruise after that, we'd take a car that had A/C (like the 2015 Charger R/T or the 2014 Challenger SRT8 Core). It was still fun in old and new cars.
As for the "Jesus Tire." If they make them in your size, you best believe the autocrossers are using them. The RE-71R's is like a 100TW tire that's just "mislabeled." I just found out that they make them in the current tire size I have on the Dart. Too bad, at the time, the best tire that was available were Michellin Super Sports. O well...
Also, at Woodward, I drove my friend's '73 4-speed Duster with a hopped up 360. It had warn out BFG's up front and a brand new set of Cooper's in the back (I believe 275/60/15's). Those Coopers are like crayons. I barely tapped the throttle coming out of parking lot and I got the back end to come loose. When my friend took me for a ride, she also made a very aggressive and enthusiastic left-hander and that back end just wouldn't hold. She had to correct the back end about 4 times before the car was tracking straight again. I'll take modern technology tires any day. Plus... I think they look cool. :D