Just my retarded know-nothing opinion but going through turns at speed in my car seems like throwing the dice if I'll make it facing backwards or forwards. I'm sure yours has something better than stock suspension but still..
all F-body handling jokes are welcome, I already know
This is exactly what I would do.. find an 80's MR2 or something, hell even a Civic. To me it seems autocrossing doesn't have to be super expensive to have fun (fun is what all this racing shit is about right?)