I realise that other countries did break away from the former Soviet Union. I don't mean in the sense of Estonia breaking off it, but rather let's say "Nortern Russia" based in St. Petersburg, a "Southern Russia" based in Moscow, a "Eastern Russia" based in Yakaterinburg etc.
You should probably tailor your question accounted for ethnicity. Example: Chechen Wars of independence. That could potentially set a bad precedence. Other ethnic regions. Perhaps even Siberia and Far Eastern "states".
I don't have an answer for this but it's an interesting thought. I'd love to hear about it. But it's probably too recent to find someone who've studied these issues in depth.