That is weird. I read that article last night, so when I read your first post I assumed that was what inspired it.
Anyway, somewhere in the comments on there there is a guy talking about using one of those crowdsourcing fundraising websites to get the money for it. But the thing about projects like that is that even if you managed to raise the money, it'd no doubt go over budget and over time unless you had some real experts behind it.
Would be awesome, though. But which Enterprise? The 1701 has those nice '60s interiors, but the curvyness of the hull could be difficult to construct, while the Ent-A is a bit more rectangular in places, but the interior's kind of boring and less well known to non-Trek fans. And then all the other Enterprises are too big.