All right I'll bite. Where in Arizona? Mogollon Rim? Arizona Strip? The Kaibab?
Aside from these above Arizona is desert. The desert is fragile. The cows destroy the desert. The American West (deserts) are mountains of cow shit. Every stream, every spring, every alcove is fouled if the cows can get in. The cows are the biggest destructive force in the desert I have ever seen.
The saddest part is that the open range ranching in desert Southwest is not even profitable without large subsidies and support by the taxpayer. These ranches are "pretend cowboys" making a living by other means. A handful of cows they own does not really help anyone and the costs of us all are huge.
Now, to the forested parts of Arizona. The Kaibab and the Arizona Strip are essentially a park land. If not for cows, it would be a pristine wilderness. This is all federal land. We do not need cows there either. 6 months ago I went on foot from Bryce to Nankoweap. The cows on Kaibab wreck havoc just like everywhere else. The Kaibab is dotted by swaths of open areas made by ranchers years ago for grazing, still nothing grows.
What is really important for any ecosystem I am aware of, is to NOT have cows and ranching. We have enough developed and rich land in other places. Please leave the West alone! Please go to Texas where all land is private and raise your livestock there.
This said, fewer cows and higher beef prices would help in general as well.