China is an interesting case. At one point, China was almost converted to a Catholic country, through the Jesuits. Internal Vatican politics in Europe resulted in a recall of the Jesuits from the Imperial Courts of China, and this was perceived as an insult that the elites of the Imperial court never forgave. Ever since, Chinese have been very suspicious of outside interference from Rome, and they view any organizations that are outside of their sphere of influence to be subversive. Falun Gong is the biggest of these kinds of organizations, but Christianity is growing very fast in China, and the government fears losing control. It is not so much the message that the Chinese government loathes, but the potential for organized resistance to their ironclad grip on power.
Vietnam, which I do not recall being mentioned in the article, hates Catholicism because Catholicism is associated with French colonialism. North Korea is communist, and its leadership is so unhinged that sadistic enjoyment of torturing people for the sheer fun of it is as a good a description as any of what is going on there.
For the rest of the countries on the list though, it is the rise of Islamists that are driving the hatred. They look to the post-Christian modern world, and see nihilistic lack of believe as their future too, if they do not do anything about it. In doing so, they have ironically entered the modern world, where totalitarianism has been a common response to being overtaken by the nihilism of godless disbelief. Islamism is following in the footsteps of the communists and the fascists totalitarian systems that can tolerate no viewpoint or individualism outside of the official lines of truth that they impose. Genocides of those outside of the official viewpoint inevitably follow. It could be Jews, it could be landowning farmers, it could be people with glasses, or just people in general like the twenty of so million murdered by Mao, but our days are the days of nihilism and genocide.
We live in the centuries of genocide.