Very carefully ;-). V8 is carefully tuned for speed with the current Javascript standard rather than flexibility--this makes it very difficult to make experimental changes. We are considering pre-processors and a number of other options, but ultimately the precise solution is still an open question.
What this translates to is: even after it's finalized as a spec, forget using ES6 anytime soon for web development.
Chrome will lag its ass -- as it already does, since FF has already implemented tons of ES6 stuff and V8 only a tiny subset.
I hope Safari and IE also move things forward and force Google's hand, but I don't see that really happening.
So, ES6? Forget about it for the next 5 years.