Simple physics, brake torque is increased due to a larger rotor. The main effectiveness from going to Brembos in your case would be better:
1. Larger heat sink of both the rotor and caliper
2. Brake torque would increase because of the caliper being farther out coupled with the rotor.
3. Less Caliper Flex due to a superior caliper design
4. a 2-piece rotor would provide weight savings coupled with the caliper, and would also help save wheel bearings due to aluminum hats able to shed heat more quickly.
Now stop, before you go off on the internet calling shit. There are a couple things missing that you must take into account. Brake Pads. You could have shitty autozone rotors on your brembos, and you will not nearly stop as hard and will fade more quickly than someone with say carbotechs on their stock calipers and rotors. Pads are the huge part of racing.
Now you must decide where you want to be driving? on track, around town? where? If its around town, a good pad selection(emphasis on GOOD pads) on gsx rotors and calipers will give you just as good a stopping distance on street tires as the most massive big brake kit as you could find. Now theres a lot of variables such as repeatability, but for emergency braking in road use, gsx rotors and calipers with a good pad will be just as good.
Quoted for someone that knows what he's talking about.
Torque (braking) is a formula based on distance from center(diameter), (clamping) force, and coefficient of friction(pads). That said, as intuitive as it may seem, the number of pistons and the size of the brake pad has NO affect on instantaneous braking power.
Larger pads are only large to help absorb more heat energy and keep an ideal coefficient of friction, and to wear down less quickly. More pistons are only used to provide a more even pressure along the pad so that the pad wears evenly, and simple geometry - you can't press against an entire pad that wraps around a rotor with 1 piston. The only other possible added benefit of the calipers would be less fluid volume resulting in a greater overall brake pressure front and rear.
Final point, TIRES! Upgrading your tires is an almost identical concept as upgrading your brakes. A chain is only as strong as its weakest link.
The crucial point is your application. If you're driving on the streets and need that instant stopping distance to prevent a collision, tires are gonna help much more than larger brakes. If you're autoX'ing or have a similar repeat braking application, larger brakes will start to shine much more than on the streets.