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First of all, you are looking into it too much- You just spelled out how frictional braking works- ALL frictional braking works that way, there's nothing special about one system or another. And you're overlooking an important point- If the gripping force of the pads exceeds the gripping force that the tire has on the road's surface, you're going to skid. There is no way around that. You're getting too caught up in the minor details and losing sight of the broad picture. You seem to be under the impression that it's possible to design a system that somehow converts motion into energy and bypasses the importance of the rubber's grip on the ground. It doesn't work that way. If you beef up one system with beefing up another, you're going to get a bottleneck. Since the stock rotors and pads are already able to overcome the tires' physical grip to the ground, the tires are the bottleneck. Putting larger pads and rotors on the car does not alleviate that bottleneck in any way. You're still going to skid when the stopping force of brakes exceeds the stopping force of the tires, and your stopping distance will be dictated by the tires' adhesion onto the ground.
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