It matters what kind of car the throttle sticks on... if it is a Toyota Corolla, the brakes can probably win over the engine. If it happens in your supercharged hot-rod, you may have a problem!
Brakes are going to overcome the engine of pretty much any road going (combustion engine) car. Stalling a runaway diesel in 1st gear? no problem, and thats close to corner case worst possible situation.
Try it. You're in Aus, and if there is anywhere in the world you can find a long, straight, unoccupied road it's in Aus. You might be surprised. Full throttle remember, not idle.
Alternatively you can work it out mathematically. My car produces 174 Nm at the engine shaft, 559 Nm at the rear shaft in 5th gear, 2314 Nm in 1st. That's a lot of torque to overcome. The brake force calculations versus engine torque are left as an exercise for the student but I've just done them on the back of an envelope and it's surprising. The engine wins.
Also the 143 BHP (107 kW) my car's engine produces is a lot of heat to get rid of from the brake discs. A brake disc is cast iron and weighs 4.5kg or thereabouts each, they have a specific heat capacity of 460 j/kgK and a melting point of around 1150 C, so need 9.35 MJ to raise the temperature of 4 x 4.5 kg = 18 kg discs to melting point from 20 C, which is just 87 seconds at 107kW ignoring any cooling (which wouldn't be very much). Anyone who has done any racing will tell you how quickly brakes fade once they get too hot.
I said runaway, not idle. So something in the order of 4000Nm at the wheels, in first gear, engine stopped no problem. You jump to maths to try and justify your imagined truth but there are some basics which immediately point to it being wrong:
Combustion engine cars decelerate faster than they can accelerate, even if you take a car that can freely spin the wheels under power, when stopping hard ABS pulls down peak stopping force on the brakes to maintain traction.
Cars dont have brake fade from a single pull to stop from cruising speed, its something thats actually physically tested for Australian design rules compliance (15 back to back partial declarations).
So these things have been tested, it might be that the brakes on my vehicles are wildly high performance but being stock from the factory I dont think they are anything special (they do have highly non-linear servo assist for emergency force, but that should be fairly commonplace, again its something tested by the ADR compliance). Depending on region in Australia you are looking at 0.4 to 0.6g as the minimum braking force to meet roadworthy testing, which is more than enough to arrest regular engines, [sa]oddly enough high power vehicles have higher performing braking systems...[/sa]