My compost bin has never completely functioned, mostly because it is disproportionately grass clippings (Nitrogen). The Coturnix quail droppings will be high nitrogen too, but I would expect that the kraft paper will add more carbon to the mix.
It's not very feasible to shred it finely since it will be covered with droppings and likely damp. More likely it be crumpled up wads of 24"x36" sheets with quail droppings wrapped up in them.
So how fast will it break down if not shredded? Mixed with grass clippings and some small number of leaves and weeds.
Nathan Near Portland, OR