Your brakes should be fine in factory form. In all honesty, there aren't many OEM braking systems out there that can't step up to the job of any level of track duty. (Aside from ditching drums for discs.) With good enough pads, you can pretty much do anything.
Big brake kits allow for lower level pads to perform better. So yes, bigger brakes help, but they are often not required like most people think. To give you an example from my experience, I used to track my 86 Crown Victoria. I did all of my track weekends on the stock braking system. That's 11" diameter single piston calipers in the front, 11"X2" drums in the back. (We'll just leave the rear brakes out as they never really did much, yeah for drums!) I never stepped up to real track pads for the Vic because I never needed to. I ran PF Z-Rated pads for 2 weekends, and Hawk HP+ pads for 3. I did fade the Z-Rated pads a few times. However, running used Hoosier R3S04 245 slicks, I never had a problem locking the front tires up even at 110mph+ (Limited by gearings so 117 was about tops). I did not fade these brakes at all.
Now this is where I learned about brake pads. After all this I finally upgraded the brakes. 2 piston calipers, and 13" rotors. I stepped one step down in brake pads, fromt HP+ to HPS. My brakes aren't half as good as they used to be. The pedal feels great, it stops great. But one pathetic step down in pads and even with 2 full inches of extra rotor I still have brake fade even on the street with street tires.
(In my opinion) In the equation of brake systems, stopping power is determined about 75% by the pads alone. I learned this lesson again with my Celica. I started with Carbotech XP8 pads, and ran into some light fading on Summit Main Course. So I switched to XP10s in the front and XP8s in the back. I beat the heck out of them and never had any more fade issues. My brakes are single piston 10" solid (that's non-vented) rotors in the front and rear (obviously smaller caliper in rear). Front is stock 1976 Celica brakes, and rear are stock 1986 Corolla discs.
Really a good set of nice low dust low noise street pads is what you need. And then a second set of extra dusty, squeeky, noisy, rotor ripping pads is what you need for the track.
The BEST pad EBC makes isn't track worthy if you push your car at all. The best demo video they could come up with for the yellow pads was a "rally" through a suburban neighborhood with a top speed of 90mph.....pathetic.