The reason there is torque is because the point of braking is not aligned with the centre of mass of the vehicle. The braking is applied at the bottom of the vehicle. No such braking is applied at the top of the vehicle. So it wants to rotate.
Let's say the brakes, rather than being applied to the road, were applied to surfaces than ran through the centre of mass of the vehicle. Pretend there are guardrails running along the sides of the road at about 3 feet high. The brakes grab those instead of the road. Because the centre of mass of the vehicle is about 3 feet high and the application of braking is also about 3 ft high, there's no torque. The car's nose does not dip.