The point is that the conveyor belt can't keep the plane from moving forward because what's moving it forward has nothing to do with the wheels. The wheels are just there to minimize the friction with the ground, nothing else.
The faster the conveyor belt is moving backwards, the faster the wheels will spin in the opposite direction, but it will have no bearing on how fast the plane is moving forward through the air, and air moving over the wings is what causes the plane to lift off.
Think of it this way. Instead of a normal airplane, you have an unpowered glider. The glider is being towed along this conveyor belt by a vehicle that is off to the side on the stationary part of the runway. The glider's wheels will be spinning furiously in the opposite direction of what the conveyor belt is moving, but the glider will still move forward and achieve lift.
A regular airplane's propeller is the same as the vehicle towing the glider. The propeller is towing the airplane through the air. It doesn't matter what the wheels are doing or the ground that those wheels are rolling along is doing.