I know, it looks like one. But no, this isn't Peyote, although it's sometimes called "False Peyote". In fact, it used to be called a type of L. williamsii, but we now know that it's quite different. It doesn't exhibit the same hallucinogenic properties and it's probably the smallest of the Lophophora genera. The variety is distinguished by a darker green color.
Personally, I think it's time to re-think some of these laws. The "War on Drugs" is clearly a war that was lost some time ago.