On one hand, it appears the Aum group in Russia and Montenegro is said to be independent of its Japanese parent (and most of its members aren't even Japanese), and on the other hand we hear reports they are closer to the "Aleph" group as opposed to the "reformist" faction of Joyu.
Two things come to light here. One is that Japan's very broad protection of freedom of religion is said to have given the cult cover to conduct its criminal and terrorist activities. Two is the cult's efforts in Russia and Eastern Europe to gain not only followers, but also resources which it sought to use to implement its agenda.
Firstly, we must examine the cult's basic beliefs - a blend of Hinduism, Buddhism and Christianity - and secondly we must examine the adoption of its strategy after 1990 when its election failure resulted in its rejection of Japanese society in favour of conspiracy theories and revolution. It simply adopted an ideology and worldview as a lens through which its religious teachings were interpreted. In this case, it used religion as a revolutionary tool. While its religious fundamentals did not differ from the plethora of "new" religions in Japan (themselves rooted in old spiritual traditions), it was their social and political agenda that differentiated them - since most Japanese religions are a pillar of social and political power in an officially secular state.
This in truth makes Aum little different from radical Islamists. I have said that what Islamists aim to do is strip Islam of non-Islamic or pre-Islamic influences in pursuit of an Islamic utopia. In reality, what they have done is simply adopted the worst of modern Western ideology to Islam, specifically ideas related to Communism and fascism. Islamists simply adopted Left-rooted ideas of anti-imperialism, Third Worldism and either Marxist or fascist political theory into their religion. In short, they have perverted Islam from a conservative faith that upholds the established social and political order to a revolutionary faith that aims to transform not only Islamic society but indeed the whole world.
In short, Aum Shinrikyo and Islamists are not all that different in their use of religion and above all else in their social and political theory, and just as much, in their attendant lawlessness.