I run the Ethos theme, but the woocommerce shop picks up the ethos front of product page styling which has a big black bar that doesn’t fit with my re-styling of ethos. (http://theme.co/x/demo/shop/ethos/shop/)
Each stack has its own layout. We don’t provide support for mixing stacks especially for blog, portfolio, shop etc pages, other pages which are created in Cornerstone like about and contact pages can easily be done in all stacks.