Yes, it's real. It was on state TV channels - he is propaganding vaccination against bird flu.
Yes, their votes don't matter since United Russia has absolute majority in State Duma, (more than 2/3), that means they could change even the Constitution by their votes alone.Does that mean they don't matter any more? The guy himself is on TV channels day and night...
Another famous video of Zhirinovsky (Warning, a lot of swearing!):