You can choose to make all of a container’s volumes mapped to directories on on your Mac by clicking on the folders in the “Edit Files” section of the container summary screen.
It is not clear to me where 'the folders in the “Edit Files” section…" is.
Unfortunately I was unable to find a solution, I was investigating the use of containers for EC2 environment, and this requirement became less important. My guess is that KiteMatic itself will not enable you to configure volumes, but that it will report volumes that have been configured directly in docker.