The drum brakes that came on my '64 Custom/427 were inadequate when paired with the performance available from the engine. The car was capable of going more than 150 MPH, and the brakes were not up to matching the stop-power with such go-power.
My latest experience with stopping power has been with my ECTA car. It's a Lincoln LS with which I hold the ECTA record in E/F CC/S---E Fuel Competition Coupe-Sedan, at 140.106 MPH---in one mile from a standing start. Even with the best in aftermarket pads on the four-wheel disc brakes, I have trouble stopping in time for the first turn-out. If I didn't lay on them very hard I'd have to go to the end of the stopping space, which simply holds up the next car unnecessarily, since it's almost a full mile beyond the finish line. Cars that go much faster are required to run a 'chute.
A significant drawback to cars from the '60s and earlier is their lack of balance. We had more go than we had stop. My new project will have 19s and 20s so there's enough room to put adequate-sized brakes on it.
KS