Absolutely, repeatedly interrupting people with questions can get you arrested. Go to a public commentary session at your local town hall. Exceed your allotted time period and keep questioning the officials. You'll eventually be arrested and taken away. Because in doing so, you're depriving the rest of the town from their opportunity to give a public comment.

There's nothing complicated about this. Padilla isn't being treated any differently from anyone else. Freedom of speech does not entail freedom to prevent others from speaking.