Is contemporary Russia culturally any distinguishable from the general traits of Western European and North American culture?
Depends on what part of Russia you’re talking about. Eastern Europe doesn’t just consist of Russia – but of a great many different countries as well.
Russia proper (which has been essentially culturally European at least since Peter the Great) or the Russian Federation? I think things are probably still a bit different way out in parts of Siberia.
Yes, Russian culture is relatively homogeneous and essentially European from east to west, right out to Vladivostok; the few remaining indigenous people in the Far North are largely assimilated to Russian culture as well (at least as much as the Inuit in Canada, say). It’s really to the south, as you approach the Caucasus, that social and cultural norms become less recognizably European.
Actually, Russian culture is not “Western” per se. “European” fits in some contexts, but when speaking of the “Western World” or “Western Civilization”, Russia is considered to be separate, and is mostly a world of its own (along with some other Slavic countries). The cite below defines it as “Orthodox”:
