If the propeller turns clockwise, why doesn the plane turn counterclockwise to balance the torque?
The plane does turn somewhat. In a single engine prop plane, the forces are counteracted by the pilot or computer actuating the ailerons and rudder. For multiple engine prop planes, they often make one engine turn one way, and the other one turn the other to mostly counteract each other. Some pilot input is still required as nothing is perfectly balanced. For jet engines, the effect is much less, due to the design of the engine. What force is created is again counteracted by the control surfaces of the aircraft. The force is most noticable when accelerating and decelerating the engine. When it’s at a constant velocity, the torque to the whole system is much less.