I don't know that blaming the government for everything that goes wrong would count as bigotry, but it is dumb. Fortunately most libertarians do not do that, though they do blame government for more than they should ("I went to public school; that's why I don't know about X.")
However, the government's job is to make things go wrong, so it's not like the correlation isn't there. It would be like saying that all donuts in the world are made by Krispy Kreme. Is that bigotry? No, it's just inaccurate.