You are right about the white pedestals, see if they are assembled all the way. They do need to go towards the center of the case, and they fit pretty tight.
Adventure Cycling has an article about how to pack a bike that could help.
http://www.adventurecycling.org/features/boxingbike.cfm
I would reinforce the strapping on the bottom (wheel edge) of the case with a bunch of layers of duct tape, mine wore through from scraping on the ground.