That's not what 'third-world' means... we're still part of NATO
If one were to hold to the original meaning of "third-world", then one would have to class Namibia and Angola as "first-world" countries while classing Switzerland, Ireland, Sweden, and Finland as "third world". Something that clearly goes against the current general usage of the term.
But based on original meaning Switzerland is third world country which also does not sound right.