If the government "shuts down" next Tuesday, your mail will still come. Doctors will see Medicare patients. NASA will keep talking to the astronauts circling Earth on the Space Station. In fact, the majority of government will remain on the job.
The closings would hit random Americans first: vacationers hoping to take in Mount Rushmore or a Smithsonian museum. Homebuyers seeking government-backed mortgages. Veterans appealing the denial of disability benefits. Perhaps on the bright side -- for some -- tax audits would be suspended.
Troubles would spread the longer a shutdown lasted.