I hate to differ, but I have never (other than drag racing) known unmatched front and rears to be safe for spirited street car use. PS2's are FAR stickier than original PS's. That combo will completely change the handling dynamics of your car! I'd replace all 4 corners with PS2's or stay with the original "balanced" PS's.
I have to agree w/ Scott and Paul (and Michelin) and say: DON'T MISMATCH!
It is OK on your father's Oldmobile...but NOT on a stiff-chassied race car. Here is the main reason: CORNERING, even in a 'street' emergency when some yo-yo surprises you.
Michelin calls it "transitional response." When the tire is changing direction, it changes shape. When it changes shape, it changes vehicle dynamics. Vipers changes are quick and definite, unlike many chick-car sports cars. This change is signalled to your hands, ear canals, and butt-cheeks. (Some drivers -ChuckB- read these signals better than others.) Different style tires change in different ways, at different rates. If you have NEW tires on the rear, that handle differently (better-worse-etc) than the fronts, your butt may be sending "hooked" signals that your hands and semi-circular canals cannot translate. You could overdrive the inferior-performing tire. This also explains the OLD+NEW MATCHED TREAD caution. It also explaines why even 5 PSI difference between the rear tires can be dangerous at limits ! That show-car Pantera might not ever drive at the limits.
I have seen a few upside-down Viper photos -some posted here- that show mismatched tires.