Funny you mention those tires.
A co-worker gets to trade cars with his father-in-law a couple times a year, he drives a Trailblazer SS and his Father-in-law has a 2006 Corvette. We've had the 'Vette out a few times this summer when it was warm, and he never really drives "gently", if you get my drift. Pun intended. The car always handled great with the Michelin Pilot Sport tires. Recently he got Ecsta's put on though, I was curious as to how the car was with them on. HOLY HELL.....it seemed like we were on ice all day! I'm not sure if they would be any better on a Crossfire, but I was definitely unimpressed with them.
Personally, I'd only put Ecsta's on if I wanted to enter a drifting competition! Just my opinion though.