In regards to Zhirinovsky's luck: yes, absolutely. The thing is these are all incidents that occur in OTL, and I really don't see any way Zhirinovsky can win legitimately in Russia in 1996 unless: (1) he is a dictator or (2) the vote is rigged. I considered both options for the 1996 election, but to create an absolute dictatorship in TTL takes away a Lot of the tension between Lebed, Zavidiya, Burbulis, Putin, and others that gives this TL it's backbone. I really like how this UIS is a borderline totalitarian state which is struggling to find its identity. At times it spirals into a full fledged totalitarian dictatorship and at times it tries to struggle to become a democracy. It it this struggle that adds to the story in my opinion. So we know he loses in 1996, but bounces back later in the year when he runs for UIS president. But we start to see something here. First, Yuri Luzhkov is being tempted out of politics (just as Zavidiya was) and he may not be interested in a figure head position like UIS president when he could be making billions like Zavidiya and his wife.
Second, although Russia has Democrtic elections, many parts of the UIS do not, and who is the one person in both OTL and TTL who is crazier than Zirinovsky and who could give him the UIS national election through badly rigged elections?
As for Berezovsky, I assumed his death in OTL was "preventable" which is why he doesn't die in TTL's March 23.