Obviously I don't mean by going to war. I mean cut all ties trade relations, political relations all aid, and public/private sector funding. Drive them into the new North Korea of statuses.

Look at the Iran the world has put sanctioned on them, and it has damaged them to an extent, but they do not change their motive they still are working towards the nukes, and they pretty much adjust to sanctioned now. Their economy might be in the worst shape, but they are pretty much in control, and now the world cannot do something about it. So if world completely cut off with (Russia which is much bigger than IRAN) and put sanction on them then at initial stage it will hurt Russia but as time progress Russia might be adjusted to it. Not to mentioned India, China, and other countries which are not part of Europe alliance will not stop its trading hence Russia will still manage to survived it.

I'm not willing to test it, but almost willing to bet their nukes aren't in any better shape than their military, which would make them more of a threat to themselves

Considering nukes can destroy the whole country even the nukes aren't in better shape, it would not be wise to think that nukes might not be in good shape as even the worst of worst nukes can destroy multiple cities.