As with all FFG games, I flip the insert over and use it upside down. It's far more useful that way.
I usually do that, too, but was worried about the player boards warping or something with the ridge in the middle. I just have my cards under the insert right now, but I'm optimistic that after I make tuckboxes for the cards, everything will fit in the insert as is. Of course, I'll have to do something different once the expansions start coming out.