Beautiful cage!
And it looks like it is on wheels!
Jake and Elwood are both the same sex, aren't they?
For an adult pair of chins of the same sex, the bars would probably be OK, but if you have two chins of a different sex, it would not be safe for the kits if they were to have kits.
When you have plastic in the cage, chinchillas will often chew the plastic, breaking it off in small sharp pieces and consume them. The main problem there is that the plastic does not digest and can often cause cuts on the inside of the digestive tract which can set up an infection that might kill them.
I bet solid pine wood shelves and a pine wood hut would make it look even nicer.
Don't know what size the exercise wheel is, but it should never be less than 15 inches in diameter ... one smaller than 15" in diameter can cause damage to the spine.
I love the shape and size of the cage. It sounds very easy to clean also.
Jo Ann