This looks terrific!

I love Vice for Weird, and the Preacher being a high-Vice Hocus; that's a great, resonant setup.

I have a few qualms about representation: AW cultivates a great sense of gender ambiguity, for instance, while the phrasing here makes it feel awkward to play a male Madam or female Preacher -- even it's easy in principle to imagine a pretty-boy gigolo/con man getting by on Suave, or a female religious visionary in the mold of Mary Baker Eddy. There's a lot of incidental language (the Proprietor providing "pussy", or "the more gold you spend, the finer your accommodations, foodstuffs, drinks, women, etc. will be") which implies that the PCs are rootless straight men, which is an understandable default for a standard cowboys & indians narrative... but the possibilities are broader.

The Savage playbook feels tonally more over-the-top dime-store-novel absurd and less historical than the other playbooks; the fact that the Savage is lacking firearms and definitively talks to spirits (i.e., isn't at all Christianized) makes them seem like a mythical pre-contact Native, rather than someone living on the fringes of a late-19th c. town with a post office and pharmacy. That latter guy definitely has a gun. Also, the names list needs some German and Southern and Eastern European names (the West was a major locus of migration) and (particularly) Latino names; also, it would be great to have the Chinese who are there to build the railroads -- maybe even a specific playbook. (Laborer in general seems to be a missing playbook, as does Cowboy in the sense of the guy literally engaged in moving cattle over long distances -- vaguely the Driver).

There is of course a decision to be made about how much you're simulating the actual Old West, and how much you're simulating dime-store novels of the Old West. The dime store novels have no Italians or Germans or Chinese or Latinos, and all the Indians have bows and arrows, because racism. Personally I vote for some of the romantic dime-store flavor, but informed and broadened by history, which means more inclusion.

"Gold" as the name of your currency feels awkward; feels more like D&D than the Old West. Sure, right around the gold rush, in California, people might have used ounces of gold dust as currency, but if this is a cattle town in Idaho, then that seems off. I'd prefer "dollars".

The Proprietor's atmosphere list feels like it's lifted straight from AW without being adapted to the Old West. Kink? Restraint? Canned fruit? Meat? A piano? I'm not saying there wasn't what we would now call kink in the West, but the language feels off, and surely canned fruit, meat and a piano aren't distinctively exotic things for a saloon to have. A virtuoso concert pianist, sure, or a French chef?

In my limited experience, THE most suspect behavior in Apocalypse World is generosity.  Give people enough gifts as an MC or as a PC and it will drive them insane.

Last Breath wasn't brutal enough for you? ;)