Replace food with water, land, etc and you get the same instabilitys. Social factors at the limits can easily lead to war, revolution, and or the breakdown of society.
sure, but you don't need to be at the limit to have that sort of instability. It becomes a bit more pronounced when there's less leeway, but it's not different in kind, only a little bit in magnitude.
Human population is expected to level off at 10-13 billion based on factors relating to social organization, not the 50+ billion that could theoretically be fed.