I realize this is being portrayed in the media as a total government shutdown, but that's really not the case.
The US has multiple levels of government. Federal, State, County, and Municipal.
State, County, and Municipal governments (which are the ones that really provide essential services), are operating normally.
For the Federal government, any self-sufficient or quasi-self-sufficient operations (like the USPTO, USPS, etc.) are unaffected. Any operations that already had their budgets passed are unaffected.
We're talking about a fraction of the total government here. There's more drama here than anything else.
Yes, there are people whose lives are affected, but they're a small fraction of the population. I believe there were estimates of 400k? Even if we bump that up to a million to be conservative, we're talking about 0.25% of the population.