Can you name some non-religious spheres where such assaults on liberty are taking place within Ukraine?
1) Press (TV) - there is no independent TV any longer. Martial Law has been used as an excuse to create the so called "National TV Marathon". This means that even those channels that are owned by Zelensky opponents, are forced to broadcast the same rose-tinted message as everyone else (for news programming).
2) Press (print) - this censorship has been more subtle. Simply, Ukraine's government and military do not grant access to Ukrainian journalists. This is why, any piece of negative news that gets into Ukraine, has to first be printed by the NYTimes, WaPo, Bild, or El Pais. They are still afraid to limit Western journalists. Still, even the regime surrounding Western journalists is being made more strict. No unaccompanied interviews with commanders, no more access to the front.
3) Trampling of all constitutional rights afforded to Ukrainians by their constitution. People are being grabbed at highway checkpoints, doctor's offices, gyms, restaurants, when shopping for food. This is despite there being a legally prescribed protocol for how mobilization is supposed to occur.
4) Lynchings (figural and literal) - people that have expressed pro-Moscow views, or even a certain ambivalence, are losing state jobs, getting thrown into trash dumpsters (seriously), tied with scotch tape to lampposts and then whipped with electrical cables, or outright killed.
5) Extralegal expropriations - businesses are being taken away from people, that are not seen as perfectly aligned with Ukraine's government. This could be, for something like paying taxes into the Russian treasury. But it could also happen, because someone in the Presidential Administration has taken a liking to your business, and is exploiting the cover of national security to execute literal theft. The typical accusation in these scenarios is that a "Russian passport was discovered."