My current workflow is similarly VM oriented and I've just started playing with docker, so an experienced user can feel free to chime in.

Docker is more about process isolation using LXC than having a whole VM for a particular app. You still need some operating system underneath your docker deploys, so it feels redundant in a world where I already have a VM for each project. However I could see it shining at hosting a half dozen to few dozen services from the same machine.

One thing I don't like aesthetically is the tendency to expose local folders to the container. I prefer complete encapsulation.