Destiny is a fantastic game, first off. But the Patrol zone on Earth dubbed, "Cosmodrome", is not set in Russia as it depicts.
Throughout a handful of grimoire cards, of which some have talked about the collapse, tells of the time when the "Darkness" first invaded Earth.
Amongst the destruction that had left our planet towards utter devastation, the mass majority of Humanity rushed towards the Cosmodrome in an attempt to make for the launching ships. This lead to panic and anarchy. People were trampling over one another and caused mayhem on their way towards these shuttles, which further lead to..."incidents"...
If you travel into "The Blast" within the Cosmodrome, (from the Devil's Lair strike) you will see a large crater in front of a Devil Walker. This crater was caused by a massive fuel explosion and killed hundreds of people.
As the lore within the grimoire cards claims, the Cosmodrome was the best chance that Humanity had at survival, and was located in Kazakhstan due to the fact that, at that time, Kazakhstan was the primary example of a well developed research/transportation station based solely on space exploration and provided shuttles to Freehold and the Ishtar Collective.
Other than that, I do not know if Kazakhstan was part of the Russian Federation in Destiny's Universe.
Edit: So many typo's... Lol
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Those are 2 different places?