The people who might say the things in the OP are willing to shut down the government rather than give in on funding for things like Obamacare and Planned Parenthood. They are a lot like union workers at struggling company who would rather strike and shut down the company (perhaps permanently - see Hostess Brands) than give in on items they see as critical, like pension cuts or dramatically reduced health care.
The difference is that we need the government. We don't need twinkies.
I'm not disputing that. The people I'm talking about don't think they need the government except for the military and a few other specific items. They don't see they larger picture of how it will directly affect them, In that way they are similar to the workers I described.