I pretty much agree with everything you're saying.
IMO, the role of the government is to make it safe to be fishers and teachers of fishers. That means shutting down the people who would murder you for your fish, and shutting down the companies that would monopolize the bodies of water.
But, should the government catch your fish for you? It seems that we feel like the answer to that question is "it depends", since not everyone can fish. But then again, this is why we have division of labor, and geographic mobility. If you can't fish in Arkansas, maybe you can farm in Montana.
Some people are in need of special help, but should that come from the government? In the past, it's come from communities. What about the people shunned from communities? It's a rabbit hole.
My point is, it's hard to draw a line that doesn't lead to "let the government do it". But the government isn't particularly effective at most things it has attempted to do: I generally feel like, for most problems we turn to the government for, there's usually a better way (and by that, I do not simply "if we were all freer"), but it does seems to be found more often an emergent property of liberal societies than a prescriptive form to fill out.
In case it isn't clear, I don't hold very strong views here, I'm sorry if that they might have itched you, just thinking out loud :)