I don't think so.
the Joshua tree
Nevada
No
The Joshua tree gets eaten by many animals. When a tree is just sprouting, a deer or rabbit might eat from it. Parts of the tree can even be cooked and eaten by humans, although, some parks laws prohibit this.
As a young boy Manson lived with his grandmother in Morehead, located in Rowan County, Kentucky
I doubt Charles ever stayed there. I could find nothing to confirm that he was ever there.
There is no such thing as a "Joshua Cactus." There is, however, the Joshua tree which is a tree-like yucca found mainly in the Mojave Desert. It can live for hundreds of years and some specimens as old as 1000 years have been found.
The Joshua tree is only located in the hot areas of North America, such as California, Arizona, Utah, Nevada, ect.
I could find no evidence that Manson ever lived in New Mexico. ~ Charles Manson was convicted on Mann's Law for transporting a woman from California to New Mexico for purposes of prostitution. As to whether it was Lordsburg or not, I don't know yet.
spahn ranch and barker ranch
Yes, the bobcat does live there. The bobcat is a species of lynx.
The Joshua tree is the only tree that grows in the Mojave Desert in California. Not only is the Joshua tree NOT the only tree native to the Mojave Desert, it not a tree. it is a member of the lily family.