On my current GE refrigerator, similar to this one, the right hand bin has a little latch which will allow the drawer to be moved to the left for removal without unloading everything in the door. (The hinges are on the right). You take the left side drawer (facing the unit) out of the refrigerator and press the latch in the center, and the right side drawer moves enough to the left so it can clear the door. GE thoughtfully did this in case your unit is close to a wall or other obstruction, and the door cannot go all the way to the right.

Does this model have this feature? I see it mentioned nowhere in the manual.