i.e. brakes on cars are not designed the stop the engine but to absorb the vehicle's momentum.
This will have the effect of reducing the power assist, which is already reduced due to high revs / low vacuum.
Preventing the wheels from locking up under hard braking is crucial to stopping when you have little traction. To provide traction on any surface _wheels must keep rolling._
When wheels are static their contact patch is effectively the size of a hockey puck, that little bit of rubber is not very good at stopping a car going 80MPH. Not compared to disc brakes w/ ceramic pads bleeding off all that energy, at any rate.
While I'm on the subject, I'll take this time to drop a PSA: on ice, where ABS is most helpful, the rubber of your all season tires is about the consistency of a hockey puck. -- Please invest in actual winter tires if you get regular snowfall.
(Also if you live in Texas: invest in a set of winter tires anyways and go have a blast when the streets are deserted.)
If your car starts accelerating in an unintended fashion, you should push the brakes to the floor and keep them there, then if you have time shift into neutral and turn off the ignition (this shouldn't be necessary, but will help).
Many drivers won't actually do this in the heat of the moment, though, thus many deadly crashes.