I do think you can't fundamentally trust anyone in power, because the incentives for them are in the wrong place. The problem with people's view of government and democratic systems is that they judge it by intentions, not results. The result will almost always be the same: abuse. Even democratically elected government will have distorted intentions, because there are no true market mechanisms preventing it from disserving its customers: you can vote once in 4 years and even then you're not guaranteed any results. If a politician fails to deliver on his promises (which they always do), there are no severe sanctions.
Anarchy doesn't mean lack of rules, poor people dying on the street and violent gangs killing each other. In fact, violent gangs ruling people is what we have now with governments - it's just that it is presented in a good light. But the true nature of violence can still be occasionally seen, as recent events prove.
The demand for safety net, protection and all other things government currently provides doesn't suddenly evaporate when you don't have a government. If people want something, market provides it. If the majority of people don't want poor to starve, there is nothing in the world that can stop them from donating to charities. If they believe a charity fails to deliver, they withdraw money immediately.