I doubt you could buy the raw carbon fiber in that car for $4500.Do it all yourself and no more than what a new Corolla would cost.
I have kept all receipts and I stay under 4,500 for anything I have built.
I did build one 69 Camaro with full cage 2x3 frame 4 link coil overs and 9" and strut front end and still had under a grand in the body and chassis.
Price of steel today would put me about 2K.
But if you have to pay someone you can plan on $100 an hour.