The claim is they are 45th Guards - Detached Reconnaissance Regiment - Airborne. Interesting Wiki entry on them:
11:27 is a guy holding his weapon right handed, aiming with his left eye- cool. Spetsnaz seem to do a lot of cool whiz bang shit like skiing and backflips, etc. But, I'm sure their ability to actually get it on and kill bad guys is about on par with most other central Asian nations.
That's a bit of a blanket statement, Spetsnaz is an overarching term like SOF is and there are a lot of them. Who knows what the FSB/SVR top tier units and whatnot can do? Not me, for one!
I noticed that too. I thought that maybe that was just a Russian technique. If it were, it wouldn't totally surprise me. I've seen other things that were very odd so I was like, "hey, look at that, using the opposite eye, guess that's how they roll." LOL True, very cinematic; even got the skully balaclavas: