Some people actually need help. If everyone's fending for themselves, then for example people with disabilities will be reliant on charity, which tends to be unreliable, inconsistent, and underfunded. The most generous people would give the most while the greedy would build up their resources to the point of being able to establish a new government.
Could such a system work, if enough people were willing to cooperate? Sure, possibly. But if the government is gone something must have happened to get rid of it, and that probably means there's some kind of major crisis going on. And in times of chaos, people aren't always at their best. When things aren't consistent, when there's supply chain disruptions and grocery stores aren't getting food in, when public services aren't getting funded, people are going to want to make things consistent and reliable again. Which generally means a new government, and fighting that tendency is like trying to fight the waves of the ocean. This is before we even get into the fact that the US is full of fascist paramilitary groups that will see it as an opportunity to go open season.
Also, there are governments that are way more functional than the US government where we already have evidence they can work and make significant improvements to people's lives. Meanwhile, the proof of concept for societies with no state is what, a small group of guerillas in Mexico, with a low population of farmers in the mountains? The Paris commune that lasted like a week?
Anyway the main problems we're facing aren't because of government in general, but because of a specific government. It's better to just replace that with one that works than to get into this scope creep of trying to create a perfect idealized system.