I think fighting through ACLU is more fruitful. What you are asking for could cause both companies to shutdown, effectively killing one of the few places (Twitter in this case) through which the same distress you are feeling against governments is voiced throughout the world.
I think if Twitter was forced to shut down, a PR shitstorm of amazing proportions would erupt. There is no way the government would win that battle. And that's part of the point of civil disobedience: publicity.
