Earlier quoted context omitted.
You wrote, "I know that the rest of my system is completely unaffected from anything the app does." This is unfortunately not true. It's a fun hack, and I think if you said it was a fun hack instead of a security measure you'd have gotten a different reaction. (I agree it's a fun hack! It's just not a security measure.)
The commands I give are fine. The one Alex gives in his comment mounts root into a container, something I am not saying at all or even close doing at all. No one should ever mount root in a container, its common sense.
(EDIT: And the Dockerfiles are running the applications inside as root. As mentioned elsewhere, Docker doesn't currently use user namespaces, so an RCE in Google Chrome has just been upgraded to a root RCE because of this. Feeling safe?)
I generally don't subscribe to a particularly absolutist view of the world, but this is a real bad thing and I pretty strongly feel that somebody who works on Docker not explaining the ramifications of this misuse of the technology is pretty irresponsible.