Your question can be interpreted many ways.

IMO, all government is corrupt regardless of these issues. Can they influence significantly? They will most certainly try, and they and media already do try to influence public opinions on it. With enough campaigning they will try to demonize it - but for different reasons than say demonizing the entire right, and half the nation.

In so many ways people are waking up to the illegitimacy of government, from drug wars, to terror wars, to whatever... Making crypto illegal won't stop it, but it would drive some to it, especially in desperate times, while providing excuses to tear down anyone they don't like.