A demand for the average American to eat more meat would have to explain, as a baseline, why our already positive trend in meat consumption isn't yielding positive outcomes. There are potential explanations (you could argue increased processing offsets the purported benefits, for example), but those are left unstated by the website.
[1]: https://www.agweb.com/opinion/drivers-u-s-capita-meat-consum...
[2]: https://ers.usda.gov/data-products/chart-gallery/chart-detai...
In reality, I don't think anybody in the US follows the food pyramid religiously. But I do think people (try to) follow the main strokes of what the government tells them is a healthy dietary balance, and so any recommendation to increase their fat/protein intake will result in more meat consumption even if the guidelines doesn't itself proscribe that as the only source.
Do you really observe that in your circles? I've lived in 6 different states, from Maryland to Idaho, and I've never got an impression that many people take any real though or consideration for their health at all. If anything, I'd armchair guestimate something like 10% of adults seem to put any real attention of effort into their health. I feel like late teens to late college year people put more effort in general, but only because they themselves are on the meat market and don't usually have complex lives (kids, careers)