Brake size
I doubt the itty bitty brakes on slower cars will get even close to locking up when clamped on at 100+ miles per hour
First you are making the assumption that 'sportier' cars automatically have better braking systems (or even ones that are spec'd to the needs of the car), its not always true. BMW's M division cars have been criticised by many road testers over the years for poor brake feel and being prone to fade under hard use.
You are make the mistake of linking the speed you need to slow from as the only factor involved in determining the size of disc required, yes speed is a factor (as we are looking at Force = Mass x Acceleration here, with the force part being the Force required to start slowing the rotation of the wheel) but the vehicles mass is also a factor in determining disc and pad specification. A Caterham weighing in at under 400kilos does not need huge pads and discs to effectively brake, while a 1,500kilo car with much bigger discs may struggle to be as effective.
Actually pretty much any modern working brake system will lock up tyres in a single incidence, bigger brakes and better pad materials generally only give you major advantages in terms of reduced brake fade, improved feel and modulation.
Pads and discs don't stop a car, they simply slow the rotation of the tyre, its the tyre itself that stops the car and is the principal factor in determining lock-up and stopping distances.
Lock- up at 100+ mph is actually less likely than lock-up at 20mph (regardless of the braking system), lock-up occurs when the tyres exceed the slip percentage. Which is the difference between the rotational speed of the tyre and the speed the car is travelling at. To illustrate say a tyre has a slip percentage of 10%, at 100mph you would need a difference of 10mph before lock-up would occur, at 30mph you would need a difference of 3mph. Hence the reason you are more likely to lock-up in slower corners than quicker ones (Note - While the above is true the real physics involved are a lot more complex - particularly if cars that generate true downforce are looked at - that's a whole other ball game - but we are talking road cars here).
That aside, in a single stopping incidence almost any well maintained and functioning brake system is going to be able to lock tyres up; the difference is weither the will be able to then keep working effectively for full threshold braking, lap after lap after lap. That's the advantage of bigger discs and pads.
Have a read of this thread, which goes into these topics in a lot (and I do mean a lot) of detail.
GT4 & Brakes
And these are worth a read as well
The physics of braking
Brake Bias and why it matters
Taken from that second article...
Long, long ago in a magazine far, far away, a few renegade brake engineers rallied together to bring forward the following message:
You can take this one to the bank. Regardless of your huge rotor diameter, brake pedal ratio, magic brake pad material, or number of pistons in your calipers, your maximum deceleration is limited every time by the tire to road interface. That is the point of this whole article. Your brakes do not stop your car. Your tires do stop the car. So while changes to different parts of the brake system may affect certain characteristics or traits of the system behavior, using stickier tires is ultimately the only sure-fire method of decreasing stopping distances.
Yes bigger pads and discs (as long as the rest of the braking system is also upgraded) can exert more braking force, but as even road car systems are capable of exerting enough force to lock tyres up (they just will not be able to do so repeatedly), haveing even more force will not make a jot of difference here.
Simple bullet point rules for braking.
1. Stickier tyres is the only way to ensure shorter stopping distances.
2. Good brake bias settings maximise those stopping distances (but can't reduce them)
3. Bigger pads and discs don't stop you quicker, but they do give you more control and less fade.
Regards
Scaff