That depends on the definition of "left." What is your definition?

(I am skeptical that "left" is a useful concept.)

Moldbug sometimes seems to define it as Puritan or Protestant more generally. But at other times he seems to say that the two are the same, but not by definition.

In the early 19th century, the Temperance movement was the same people seeking the abolition of slavery and women's suffrage. Surely this counts as left? A century later it won by having a broader base, but it was still Protestant. Indeed, much of the appeal was as a way to attack Catholic immigrants.

Marijuana and cocaine were banned at about the same time as alcohol. One interpretation was that this was a side effect of the temperance movement. (This is more clear in the case of cocaine, which was a dry run of prohibition; less clear with marijuana, which was banned later.) Another interpretation is that they were race war (just like alcohol). That sounds right-wing, but what is your definition? The prohibition of LSD was much later and seems much more clearly right-wing.

I am talking only of America. I believe that prohibitions elsewhere were imported. If you think America is right-wing, that makes them seem right-wing.

Added: I forgot opium. It was nationally banned with cocaine, but it was banned in SF much earlier, when the Temperance movement was a lot weaker. I think most local Prohibitions were left-wing, but opium in SF might not fit that.