I'm sure the mafia does have a large hand in Moscow, but corruption and bribery are rampant throughout the country. The big, new money in Russia comes from bribery. And its very evident in Russia's large cities.
Despite what Kasparov says, the Russians DO love their president and he has an extremely high approval rating. Russians are now enjoying a very quickly escalating standard of living. It'll be interesting to see what kind of fate Kasparov meets.