With the glass disconnected from the regulator and secured properly the regulator can now be removed.

Start by removing the switch from the plug.

Then use a flat blade screwdriver to pop the back of the plug off. This will reveal the individual connector ends inside the plug.

Take a picture or make careful notes of where each wire goes. While the wires and the holes in the plug are typically numbered for easy reassembly it's better to be safe than sorry.

Pull the solid green and solid black wires, which are the ones that are connected to the regulator motor, from the plug. Leave the rest of the wires in place and re-install the black plastic back on the plug for now.