Austria just declined to join the NATO again when Finland joined, Vienna is still full with Russian spies.
And I don't see why the US would need Liechtenstein to join the NATO.
Moldova, Georgia would join the NATO much sooner than Switzerland, Liechtenstein, Austria.
A friend of mine who works as a geopolitical advisor for the Singaporean government said a war between NATO vs Russia/
China has only 2 possible outcomes:
- Quick victory for NATO
- Total destruction of the world except maybe some parts in South-America, Africa and some Pacific Islands
In WW3 I don't think it matters if you live in a NATO country or not, whole Asia, Middle-East, Caribbean will be annihilated along with Europe and North-America.
I doubt after a nuclear war there would be hospitable parts remaining in Eurasia, many countries in South-America are US allies so Russia might drop a few bombs there too just in case.
Your best bet is probably Kiribati, you might outlive the rest of us there for a few months more.