i will be posting the pics when it's done, dry and hanging full of carts, but I have made one out of this material before. It worked fine. Unfortunately, though it was strong enough to hold the carts, it was not strong enough to withstand the weight of whatever it was I threw on it while I had it off my wall (thankfully empty at the time) However, if you still don't trust ot even after you've seen my complete version, You can get yourself some sewing pins, and push through the back into each shelf. I'd think 2 per shelf would give it quite a bit of extra strength. If you're worried about the frame busting up there's a solution for that too, duct tape wrapped all the way around it. It comes in all sorts of colours nowadays so you could get a color the same as the boards you use.
Pics of completed project with games in it should be up by wednesday.