That's over grazing. That's lazy, over zealous and/or careless herders who fucked up. You rotate your herds on different land so they don't strip the vegetation. Allowing it to regrow quickly. You're managing the land just as much as your flock. This has been known for thousands of years by people who actually farm and not armchair farm.
While I generally agree with you, there is the tragedy of the commons effect. :-)
Yea, but that's not a "farming" or "meat" problem. That's a human problem. A well known one for a long time at that. If everyone owns it, no one takes care of it. Someone has to be responsible and thus, manage it. There are people who will always abuse a system because they simply don't care. The same as people litter. Pretending to be surprised and blaming anything else is fruitless. "Well, it's the bag's fault for existing, that's why there's trash." or "It's the consumption of meat's fault that the land was stripped bare". No, an asshole did it. An asshole is responsible. Hold particular humans responsible for their personal actions. Don't blame someone or something else.