Wow, ah do little more googling please before you embarrass yourself further.
Same reference of USDA;
I think you're citation there speaks more to you lack of business cash flow. In the same way small businesses are barely self sustaining the same is true of small farms. There's a size things need to get before they break even. Then the bigger they are the more profitable they can become. In reality businesses and farms below $1M/annual gross (before expenses & taxes) are small farms, that's kind of the break even point before they become truly self sustaining.... infact having that as the top point is not very informative. I would love to have seen >$10M and >$100M in seperated categories, which would help clarify the point I think you're trying to make.
To further solidify the idea, most farms only make about 5-10% profit, ie. After materials and labour, on $1M gross they only make about $50-$100k for the farmer (I don't want to calculate, but it's not great for their hours worked often, and it's dangerous work, they've also got a high suicide rate) Farmers will live poor and put everything into making it work. Which is why historically businesses can't compete because they'd need to pay the farm manager most or all of that profit, who doesn't care as much as an owner-operator about the future of the farm.
TLDR: Non family farms (corporate farms) make up 1.3% of farms, 6.1% of land area, and 10.6% of production.