I'd like to think so. But honestly I think it could go either way. Not because of technology but because of society's seeming apathy about the value of liberty.
So, no, I don't think our apathy will allow the government to be overrun by copyright thugs -- we already have the cure and it's already prevalent.
Now, these are fairly base liberties being totally about the individual: "Copying data doesn't deprive. I want this data. Yay!" "Doing drugs doesn't hurt others. I want to feel different. Yay!"
The trick will be to maintain our loftier ideals like freedom of speech, freedom of press, and the right to privacy which I can very, very easily see being taken away.