You agree then that the plane continues to move over the conveyor belt....
So what you are saying is the conveyor belt stops the object on the belt from gaining momentum, yet it doesn't stop and object in motion before being on the conveyor from losing it's momentum once it is on the conveyor.

So then why doesn't the front wheel drive car pull the rear wheels up onto the conveyor? It also has it's momentum throug the air before getting onto the conveyor belt.
Is it because the front wheels would have to be moving forward when they are experiencing a counter motion, which would have to be impossible in order for the plane to remain in the exact same spot on the conveyor....and then the rear wheel would have to be moving forward without any motion from the ground(because the ground doesn't move and the engine doesn't provide any motion to the free spinng rear wheels) and thus would have to move without a counter motion of the ground...

So how is this conveyor belt magically stopping the cars but not stopping the plane?

You've agreed the pane keeps moving after all, so why not the cars? (Beause their method of forward propulsion is different)

Or how is this plane magically moving it's rear wheels, while not moving it's front wheels, while at the same time the wheels remain a constant distance apart?