Meat and dairy are separate considerations. Even in industrial farming, meat animals and dairy animals are raised separately and often belong to different breeds. They are certainly treated differently.
So for example, where I'm staying, about 80% of the dairy products are made with the milk of sheep and goats in small farms where the animals range freely, in the summer, and eat stored wild grassses as hay in the winter. On the other hand, most of the meat consumed is chicken and pork and of those animals, at least the chicken are kept in large battery operations. I don't know about pig farming. Also, where I stay there are very few cows, most of them raised for dairy, and the country has one of the smallest, if not the smallest number of cattle in Europe. It's in South Europe, but I don't want to say exactly where.
Anyway when you ask questions like the one above, please consider that the conditions you know from the Americas are not the same in all of the rest of the world, and that most of the rest of the world simply does not eat as much meat, of all kids, as Americans (and by "Americans" I mean people in the US, Argentina and Brazil).
> You can't fulfill a country like the US's meat and dairy demand with pasture raised animals.
"Demand", maybe not. But "need"? It seems to me that this can be done perfectly well simply because the amount currently consumed is extravagant. People in the US eat way too much meat, per capita, compared to almost everyone else in the world, including most industrialised nations. My selection below:
https://ourworldindata.org/grapher/meat-supply-per-person?ta...
Nobody needs to eat that much meat. If there is "demand" for it, that is the matter that should be addressed. Why do people want to eat so much meat? There is something incredibly wrong in the data above, when you look at how the US, Argentina, Spain and Brazil eat, compared to the other industrialised countries in the chart.