That would be a real strange setup as best I can tell, best of luck to 'em. Is 2 acres enough to feed a family off down there in Utah (I'm not familiar with your grow season)? Presumably a largely veg diet (maybe some chickens), but then they have a picture of a big feed lot looking thing? Real odd.
My brother-in-law has 1.25 acres in Oregon (for those of you following along, he is the closet racist one I have spoken about before), and he has embraced the do-it-yourself lifestyle, really planning for the apocalypse and the mormon Millennium, serious end of days type ****.
They raise all kind of vegetables, they have about 30 chickens, of which 10-15 at any given time are "meat" chickens (the ones that grow so fast their feathers don't cover their entire body), and he breeds chickens and sells them as meat, chicks, and sells their eggs. During growing season they grow all kinds of vegetables, including corn, cukes, tomatoes, carrots, asparagus, cabbage, watermelon, cantaloupe, lettuce, and on and on.
They freeze all kind of veggies and meat, and do a lot of hot canning (bottling in mason jars). They have 4 huge chest freezers and they practice food rotation so it stays mostly fresh. He built an underground cellar where he has a small "bunker" type thing he could live in and it is where he keeps his canning stuff. It is built under his driveway so he doesn't interfere with the rest of the homestead. He recently built a greenhouse and now even in the winter they are producing much of the produce that doesn't preserve well, like tomatoes and lettuce, etc.
He has about 1/2 of his acreage as pasture land and is working with a neighbor and they raise cattle and pigs (maybe 4 or 5 at a time), purely for meat, although he is branching into small-batch milk and cheese production. He doesn't breed the animals, yet. He buys the calves and piglets and raises them.
It is pretty crazy what he has packed onto that acre. Last time I spoke to him he said they are producing about 70-80% of what they need to live on, buying really only things like condiments, bread products, treats, and things he can't grow to fill out their diet or for special occasions. His monthly food budget (as in what gets spent at the grocery store) for him and his wife and the 3 kids he has that still live at home he claims is maybe $300 per month.
He also installed solar panels and a small wind farm with vertical wind turbines that are more quiet and not a big threat to birds, and he says he is often selling electricity back to the power company.
It is admittedly pretty impressive, no matter how unlikeable the guy is.
So yes, it is very doable on 2 acres.