Right on. Thanks for the tips guys.
I ended up moving forward with Gorilla PU Glue last night using tape to cover all visible edges. It came out great.
I made sure the bottom was perfectly aligned while sitting down to dry. Sadly, not all 4 pieces of wood are equal heights so I'm going to have to sand it down a bit so that it looks flush.
What sandpaper is recommended for this project? I thought I read 180 and then 220 but I'm not sure. Thanks
Also, should I sand it by hand?