Though the schism happened long before the Lykovs, the communist party led a strong campaign to destroy christian organizations in the early 20s-40s (right around the time the lykovs left).

https://en.wikipedia.org/wiki/USSR_anti-religious_campaign_(...

Here is another example of a community of old believers in Alaska (1968) with an article in the Atlantic: http://www.theatlantic.com/national/archive/2013/05/a-17th-c...