Sadly, there are some good reasons why all of these regimes fought the Church.  Although it's true that part of the reason that the Church was repressed and persecuted was that these who came to control these regimes wanted total power over their subjects, it's also true that in most countries, the Catholic Church (or Orthodox, in the case of Russia and most of the countries of the Soviet Union) traditionally sided with those in power, who had wealth and who lorded over the needy.  In western Ukraine, the Ukrainian Catholic Church was mostly an exception to the rule, but that was because western Ukraine was ruled by the Poles, and the UCC mostly allied itself with the Ukrainians in their struggle against foreign domination.  Because of that history, our Church was suppressed by the Soviets, while the Orthodox one was infiltrated and used, but permitted to exist.  Catholic hierarchy traditionally has not  been on the side of the angels in many countries.