I spent today sanding all the joints. When I received the pieces, about 80% fit perfectly, 10% fit if I forced it, and 10% was terribly off.
Next I wet sand everything and primer it. I'm not sure how long that takes but I'm thinking the rest of this weekend is going to be spent with water and super fine sand paper.
Here's a photo of the final size vs. the prototype:
Once I get a wooden base done - everything will stand about 9" tall.