First of all, just know that you wouldn't be able to do that without some modifications, but of course anything is possible.
Think about this, why do other performance & race cars have staggered setups?
Answer, the front wheels do a different job than the back wheels(is further explanation on this necessary?).
So you can either optimize by using 2 different size wheels & tires for the 2 different jobs, or you can compromise & use the 1 size of wheels & tires to do 2 different different jobs.
Most passenger cars use same size all around, yes, & is that a compromise? Yes!. Why is it that big trucks & semi-tractors don't have the same wheels up front that are in the back(like duallys)? Are they racing? No, but I hope you grasp the concept at this point. I'm not going to explain the compromises(or benefits) in your proposal, they are fairly obvious.
Good luck if you decide to go this route, your car will indeed look more muscular, & isn't that the most important aspect of a sports car?