In that video it shows the car slowing quite effectively when he presses the brake. He claims that the car won't stop but it sure looks to me like it could.
If I can refer you back the the Car & Driver and Revisionist links where they absolutely did stop.
"We included the powerful Roush Mustang to test—in the extreme—the theory that “brakes are stronger than the engine.” From 70 mph, the Roush’s brakes were still resolutely king even though a pinned throttle added 80 feet to its stopping distance. However, from 100 mph, it wasn’t clear from behind the wheel that the Mustang was going to stop. But after 903 feet—almost three times longer than normal—the 540-hp supercharged Roush finally did succumb, chugging to a stop in a puff of brake smoke."
If you have big performance brakes maybe. But in a normal car the brakes won't stop the engine on full throttle from high speed, they will just overheat and be useless.