There is another organization that advocates the use of cattle for grazing and converting deserts to green lands. The green lands have been found to restore streams. This movement uses the same principles for sustenance.
I think it is called the savant institute. the founder also has a ted talk.
Grazing for conservation is an interesting topic. Clearly, cattle and sheep do trample stream banks. In over-grazed lands (any place in the western USA) practically all riparian habitat has been destroyed by grazing.
But, limited grazing does have benefits. At the Vina Plains ecological preserve (near Chico, California) they found that without grazing invasive weeds took over the entire site. When they allowed limited grazing the cattle trampled the non-native weeds, giving the native grasses and flowers a chance to grow. Just letting a herd through briefly in the spring season was enough to have this effect and not enough to ruin the streams.
...over-grazed lands (any place in the western USA)...
Anyone who has spent any time in public lands in the West naturally will be skeptical of this "cattle preserve grass" theory. We need more detail about why this hasn't been the case in USA public lands, and how policies could be changed to make it so. (The most obvious change would be "keep cattle off public land so the taxpayer isn't subsidizing certain beef producers".)
That said, I'm confident that cattle aren't as bad for plants as horses are. Cattle lack upper incisors, as do deer and antelope. This means they tear off the upper portion of the plant, rather than extracting the plant along with most of the root as horses tend to do.
I think it is called the savant institute. the founder also has a ted talk.