I've never driven one, but from what I have read, the ride is actually somewhat compliant. The following is a section taken from http://www.caranddriver.com/reviews/car/10q2/2011_ford_mustang_shelby_gt500-road_test.
Still, this is the first GT500 that truly handles well. It turns in crisply and is satisfyingly neutral unless you take a 90-degree bend with the stability system turned off or the road is wet, in which case, the back end slides in a controllable manner that will impress your more juvenile friends. On dry roads, in third gear and beyond, the back end stays planted. Surprisingly, despite the antediluvian rear axle, it rides quite comfortably and isn’t upset by midcorner bumps.
Still, this is the first GT500 that truly handles well. It turns in crisply and is satisfyingly neutral unless you take a 90-degree bend with the stability system turned off or the road is wet, in which case, the back end slides in a controllable manner that will impress your more juvenile friends. On dry roads, in third gear and beyond, the back end stays planted. Surprisingly, despite the antediluvian rear axle, it rides quite comfortably and isn’t upset by midcorner bumps.