Yes, Nate99, it appears that they are just pushing everything down the elevator shaft. They cut a hole in the side of the building by that excavator, and they have water jets spraying down on it (which increase in intensity when debris comes down) to minimize the dust cloud.
They are using a wheeled Bobcat loader (built in the state where I grew up, North Dakota!) on the top of the building to carry the debris to the shaft, where it's dropped down and then moved to a dump truck by the excavator.
Here's a photo of the loader that they are using, when they were using the crane to lift it: