If the means of production is now a livelihood, I have to say that this is a great example of how "means of production" is an insufficiently-precise phrase. It means all things to all people.
Marx seeing his mate's factory and thinking "it'd be nice if the workers owned that" and coming up with a generic-sounding equivalent phrase isn't really good enough to define a real concept.
Which is why people who use the phrase "means of production" seem to all mean different things. Owning a hammer is owning the means of production. It's just the means of production isn't enough.