UPDATE MARCH 2019:
You probably want to use this instead: https://www.home-assistant.io/components/smartthings. Start there regardless, and only consider migrating to the below (A) if you need everything to run locally (the MQTT messages run on your LAN) or (B) if for some reason you simply need everything on MQTT.
In order to use https://github.com/stjohnjohnson/smartthings-mqtt-bridge, I built new Docker images with the latest version of the bridge, and shared them with the community @ https://github.com/adamfeldman/hassio-addons. Thanks to @vkorn for building the repo that I forked and updated.