Before you start over with new wood, you should try to disassemble the project. No promises, since this is an end-grain butt joint it is not super strong. The sides may pop apart with a few hard hits from a hammer. Just be sure to use some scrap wood to protect your project from the hammer blows. Worst case scenario is that the wood splinters and is unusable - best case scenario is that you can fix everything and reassemble
Thanks Terry! Although this is a pretty simple project I'm enjoying a lot of first time techniques. The drawers, the sliding dovetails, the cope and stick, and the hardware selection and installation are all new to me. Now that I'm into the build I'm finding that even though I spend an inordinate amount of time messing around (drinking beer) in the shop and not really woodworking I need to spend still more time in the planning stage. Apparently this woodworking thing takes a lot of careful forethought. I'm intimidated by hardware installation. It's not the thing I enjoy most about woodworking. There are so many variations it is bewildering. Then there is so little provided from the manufacturer of what I would call mounting instructions. Next time around I'll put a lot more thought into designing shop made drawer slides into the piece.