It feels pretty great in corners because the suspension keeps the car level. I don't have experience driving many other higher end cars to compare it to, though.
It will never hold up on the track. The battery can only handle the max load for a short amount of time, before the computer limits the engine and make the car more of a sunday driver. That's not a problem for every day driving, it just isn't comparable to other supercars on the track. It however means that for normal usage, it means you have the efficiency of an EV and the "burst" ability of a supercar.
Cornering on the P85D is pretty amazing due to the low centre of mass. I got to drive it on public roads rather than the track, so I didn't get to push too hard, but even then I was surprised how quickly I could hustle it through bends (for comparison my usual drive is a BMW Z3M Coupe, and I've been lucky enough to drive most of the present M cars on the Spartanburg track).
And the Tesla is quiet. Here's a great video: https://www.youtube.com/watch?v=QERGldfZA5A
I don't know how well a Tesla corners compared to German or Italian competition.