Russell did play it wrong after his stick broke, and it comes from too many players who are still not playing 3 on 3 OT correctly. A lot of the success the Stars have in OT comes from teams playing it like Russell did, which is to play it like you're a PKer on a 5 on 3 shorthanded situation. These guys who default to some triangle zone defense cost their teams wins in OT.
The only way to play it is man on man. Go glue yourself to a player and remove him as a passing option. If the guy has the puck, get on him to force a pass or a dump. The whole reason the puck ended up in the zone is because the Habs pressured Eakin into pushing the puck ahead into the neutral zone to no one in particular. The Habs grabbed the puck and spent the remainder of OT in the Stars's end.
There is waaaay too much open ice in 3 on 3 to be of any use trying to defend it with positioning. When Russell's stick broke, he should have skated right over to be within touching distance of the nearest Hab.