They can't take down the entire evil government here but they can weaken the Executive by cutting him off from all possible media feeds, and they can disrupt the broadcasts to make it clear the Affiliate has lost control of the government.

When it comes to truth and freedom, you can't stop the signal.

Or, well, in this case, they can. But it's a good thing.

To do this they have to take control of the Affiliate's massive control room and let any techheads get to work.