Would you please restate simply what you are saying the cause of the split is? I want to look into that and verify it.
Also, with regard to the Russian church, the date that Easter is celebrated is not nearly as big of an issue as the theological differences between Orthodox and Catholic, otherwise they would not be in communion with other Orthodox churches. I want more information on this because I believe Easter may have moved somewhere for someone, and I know that in the Oriental Orthodox churches, the Armenians in Jerusalem celebrate Christmas on a different date (1/26).
I am assuming that with Putin you mean the hand/which shoulder went first when he crossed himself, because all Orthodox cross themselves, as do some Episcopalians and a few Lutherans. The mere subtly of hand gesture is insufficient to indicate a truly different theology to me. They use different bread. They have services sometimes at different times of day, they celebrate church things on different days if it is specific to their church. I don't know if it was between one group of Orthodox and the other or between various Orthodox churches, but I have read about different ways of crossing ones self. Easterns and Orientals do communion different ways but recognize each others sacraments as valid (even if they have Chalcedonian differences) that separate them.
This wikipage shows that some are no longer in communion (respecting each other as valid Orthodox churches with valid sacraments and willing to commune with one another).
http://en.wikipedia.org/wiki/Orthodox_Church