I think the only other famed civilisation that ate only meat was the American plains Indians who ate bison and were only defeated by the destruction of the buffalo (bison) herds.
Those people were described as more magnificent that European nobles in their finery. Now they're less healthy than European Americans, as they eat modern foods.
Indigenous Australians too ate little other than meat and insects. Australia has so few native plants that are edible, and most of those are in the tropics, but the British invasion of Australia was only 200 years ago, they had rifles and the Indigenous Australians were in the stone age. Paintings and drawings of Aboriginal men from the early days of British rule show they were tall men of impressive physique.
The Mongols were lucky that the people they were fighting didn't have guns yet, back when being stronger and taller mattered.