Well, I can lift your spirits. If you don't do burnouts, that rules out a problem with the diff. The diff only does something when traction is imperilled to one or both of the back tires. I'm inclined to say this is a QC issue with the tire and this won't be the first one I've heard of from the Contis, I'm afraid.
2014 Premium GT, SGM, Brembo, Auto, Tech, Comfort, etc. GT500s, Steeda UCA, VMP auto tune, 100 shot on BBR tune, best et: 11.38 at 120.85
2012 GT, Candy Red, Brembo, 3.73, Tech, Comfort, etc. Procal tune, Roush upper, UMI LCAs, Steeda red bracket, GT500s, 28X10X16 Hoosier slicks, best et: 11.91 at 115.23 RIP