Know thy enemy.
The FlatEarthers believe the north pole is at the center and the south pole makes the perimeter, so those connections are still valid on the Flat Earth Model.
I think a better argument would be that the pattern of waves from earthquakes clearly support the round earth model, and also show that the earth has a spherical core. But then, it could just be a mass-conspiracy perfectly orchestrated by the government-controlled earthquake monitoring stations around/across the world.