I think they look cramped too. I think it is due to all the cross pieces. Those are likely not needed as an A frame gets its strength from the triangle shape. The chicken wire is unlikely to stop a dog. I do like the tip our access door.
Overall, the design of this A-Frame coop is not bad. One thing that I would change is the run. I would make it a little taller and wider, as the birds look a little cramped. I would also make this coop easier to access. Think about how you'd get to an egg laid in the run.
