It is part of the Sonoran Desert, and on a larger scale, of the Great North American Desert.
There are both hot deserts (Mojave, Chihuahuan, etc.) and cold deserts (Colorado Plateau Desert, Great Basin Desert) in North America.
There is no such desert as the "North American Desert." However, there are several deserts in North America. Deserts occur in both the United States and Mexico.
Yes, there are cacti in all the deserts of North and South America.
There are a number of species of scorpion in the deserts of North America. not just one.
The Painted Desert is located in northeastern Arizona and is part of the larger Colorado Plateau Desert
North America has both hot and cold deserts. South America has only cold winter or cool coastal deserts. There are no hot deserts in South America.
Both the Great Basin Desert and the Colorado Plateau Desert are classified as cold winter deserts.
If by buffalo you mean the American Bison, yes they are still found in small number in some North American Deserts.
North American Deserts:Mojave DesertSonoran DesertGreat Basin DesertChihuahuan DesertColorado Plateau Desert
Coyotes live in all North American deserts as well as in almost every biome on the continent. They have also adapted to living in urban areas.
All the North American deserts have rattlesnakes:Mojave DesertChihuahuan DesertGreat Basin DesertSonoran DesertColorado Plateau Desert