Road Course "Trans Am" Dart-- does anyone recognize this car? What tires????

Why not run the Mickey Thompson Sportsman or Sportsman + ? they are a soft sticky compound so putting them on the front would work just fine on a road course . What would you run ? Hard compound tires like the radial T/A which are junk on the street never mind a road course ? 15 inch tires are only available in a few compounds and 14 inch are even more limited in options .

PS your first clue might be the fact that you can actually read Mickey Thompson on the sidewall of the front tire

Good in theory, but the reality is the stiffness of the carcass has a lot to do with performance as wwll as rubber compound.