I'll second what Greg said.
The larger rotor allows you to put more leverage into braking, thus stopping you faster. Think of it like the good ole' cheater bar for breaking nuts loose; longer bar for more leverage and torque, bigger rotor for more leverage and torque. The greater the torque, the faster the car slows. So large brakes are functional.
With a 15" wheel, the biggest rotor you can use is a 12.12. This is so large you will have to use an aftermarket caliper with a thin bridge and a custom bracket to mount them on to get the clearances just right. I don't think any one out there offers a 12" kit for mopar spindles. You probably could piece one together from the Wilwood catalog with some careful parts selection and a buddy who is a machinist. FWIW, Nascar uses 12.12 rotors.
Anything bigger than that requires a larger diameter wheel. However, with the number of 13" kits at there, it may be a cheaper route to go 13" with new wheels rather than trying to fit a 12.12 rotor in the stock wheel.
The largest stock rotor is 11.75, which is bigger than most the 10 inch kits you see on the aftermarket right now. For anything but all out road racing, this would be sufficient, and even then cooling ducts and special pads will get you a long way into the road course action with a factory set up.