They haven't really said anything about it. This depends, then, on your view of the role of the state: does the state have a vested interest in keeping its own currency #1? If so, then yes, the state views Bitcoin as dangerous, and will inevitably stop its growth, likely by outlawing businesses from using it officially, to ensure the dollar remains king. If the state is viewed as a benevolent entity, then one might say they will adapt to Bitcoin for its superior qualities, and allow it to flourish, or perhaps outlaw it in the name of public safety, perhaps to stop terrorist activity or something similar.
AFAIK the closest official statement about Bitcoin was in the form of FinCEN guidance, and they can't make laws, they only give advice. From what I've observed so far, the state has shut down various exchanges for they did not comply with various regulations. Otherwise, I've not noticed any action from the state in regard to Bitcoin.
So far, this is in considering the state. Considering the government that occurs outside the state, I've not seen very many people actively oppose Bitcoin; I have seen several who claim to really not like it (typically followed with "It's a ponzi scheme!") but I've yet to see any actual business openly oppose Bitcoin. Most claim they want to understand Bitcoin more before they integrate the currency into their business. Weighing the amount of businesses and individuals who either accept Bitcoin as of right now or are considering using it, against the amount of people and businesses who have outright said they do not want Bitcoin (or anyone else to use it for that matter), the general consensus is that Bitcoin is good and deep in the green, or in the very least, is not detrimental to people as a whole.
This isn't such a stark contrast, then; the government from the state vs. the government from the people are generally aligned here: "What's Bitcoin?" It's true; most people yet do not have an opinion about Bitcoin, nor has the state given any real statement on the matter.
I'd give it some more time before making a real judgment call; the currency is only 4 years old after all. By the ten year mark, we should have a very clear understanding of where Bitcoin is going. I also apologize if I've missed something recent; I've not kept a close eye on Bitcoin for a month or two now.
Very insightful. It seems that the users of bitcoin are constructing their own future. If only there was a way to increase the exposure of the positive aspects of bitcoin while minimizing the negative.