I'd say it sounds about as far off as the proposal to go to the moon did, before the US had even achieved earth orbit. Or perhaps, as far fetched as the theoretical scheme that the matter in the nucleus of atoms could be converted into energy, creating an incredibly powerful explosive did, before there was a major push for that.
Both had, a decade or three beforehand, the basic technology proven. What is the difference in kind, and not degree, between putting a man in orbit and putting him onto the moon? Once you've gotten all the way to a reactor pile which can go critical, you've done most of the hard work.
If we could manufacture a few meters of space elevator material, that'd be one thing, and I might accept an argument that 'with a Manhattan project equivalent, we could build a space elevator in a decade or two'. If you can manufacture a few meters, then you can do it again and again and scale your processes up. But we can't even manufacture inches, putting us closer to the Curies or Roentgens of space elevator than the Fermis or Oppenheimers.
If we could manufacture a few meters of space elevator material, that'd be one thing, and I might accept an argument that 'with a Manhattan project equivalent, we could build a space elevator in a decade or two'.
I think you are looking at the wrong problem. Assume that you can easily turn coal into bucktube material suitable for building an elevator. Now, compute how many tons of the stuff you will need. And then, how many tons of chemical rocket fuel will be required to lift all that material up to GEO.
Oh, we may build an elevator some day. But I doubt that the material for building it will come from the Earth's surface.
http://www.slate.com/id/2283469/pagenum/all/
It's a long article, but the most relevant stuff is at the end, about how we're pretty much locked into the existing rocket technologies: