Man, that is a LOT of 8020!!! And a lot of 8020 fasteners.....
As an alternative, getting back to the thought of using plywood, have you considered making this from plywood but cutting out all of the extra weight? Thinking here of a design much like a carcass, would be an ideal CNC job. The shelving/side units would retain rigidity, but you could eliminate a lot of the plywood weight, and it would have to be a significant less cost than going the 8020 route. Planned correctly, some of the milled out plywood could be used for shelf material. And speaking of the shelf material (bottoms), no reason why those have to be a solid chuck of plywood either. You could even make a frame type bottom using plywood cut offs and assemble using the domino route....
Perhaps another Sketchup project to consider while laid-up?
Gary