Pre-glued dowels would seem to make this even easier. However, if you soak them too long, the glue dissolves into the water; too short and they don't bond. If you need to re-position the pieces, you will need some glue handy, the pre-glued dowels will be dry.
The unit itself is somewhat flimsy and not nearly as good looking as the picture. If it will be hidden and you don't need something very sturdy, it will be OK. Just make sure you have glue.