I hope that you can see this doesn’t say that they tried to abolish family, just weaken it.

Additionally, in the totalitarian phase which started in the late 1920s, family was supported and strengthened:

> the government of the Soviet Union first attempted to weaken the family and then to strengthen it from the 1930s onwards

It’s clear as day isn’t it? Totalitarian regimes can very much be based on family values.