Soviets did have some organized crime, but they were well, Russians.
GDR, Czechoslovakia, etc, somewhat less inept countries had very little crime and no organized crime to speak of.
While the regime exercised strong control of information prior to glasnost, and had plenty of motive to repress information that would indicate weakness of the regime, there are numerous known hijackings, the 1977 Moscow bombings, and others. (While reliable information about responsibility for some, and any broader organizational responsibility that might be behind those clearly responsible for others, is hard to come by, there does seem to be a disproportionate link to Armenia among the known incidents, with some specifically linked to Armenian nationalists.)
In the Soviet case, it didn't help that they didn't really care much about crime...
What gives you that idea?
Solzhenitsyn in general gives a sense that the USSR wanted to keep things more or less held together, but wasn't that concerned about people who fell between the cracks.
What do you know about crime in the Khrushchev and Brezhnev years? (A whopping 29 years combined.)
Being a police state is one thing; being an _effective_ police state is something else, much harder (at least in the pre-computer era). In the Soviet case, it didn't help that they didn't really care much about crime...