The purpose of the switchover to digital TV is pure greed on the government’s part.
That's a bit negative. The analogue TV broadcasts are very inefficient in their use of spectrum. As you point out, the radio spectrum is a very limited resource. Digital TV needs less of it to offer the same services. The saving can be used for new services, of which there are potentially many.
In the long run it's the best thing to do. How the transition is managed is another matter; I can't really comment on American policy. Here in the UK it's been brewing for years. (It looks like we messed up the high-definition element, so people who bought digital TVs will have to buy again to get HD.)