Again, you should read the history of the US because mass strikes and militant labour organization was precisely how workers wrestled concessions from the ruling class in the past. The idea that most countries don't have a way to shut down their government is also nonsense. That's just a strike carried out by government workers. Any country can do that.

Meanwhile, the type of a government shutdown you're talking about can only be carried out by the politicians and it's entirely out of the hands of the workers.