NM just voted blue so they're not a ton of vax denying hippies.
This tells me you've never been to Taos, Santa Fe or some of the suburbs of Albuquerque. Makes even San Francisco look downright normal by comparison.
WV and NM had super easy to execute rollout plans and good communication around who was eligible when because, again, it was super easy to understand. I might more align with the more thoughtful equitable plans like DCs but I think we're seeing, a more complicated plan (1) is harder to execute with no experience in mass vaccinations and (2) leads to otherwise well-informed people not even understanding if they're able to get vaccinated now and how/where they would accomplish that. (The federal pharmacy partnership program is actually a super success in helping every state with this.) There's something to be said for "keep it simple stupid."
While I believe some of your narrative is true, supply is by far the biggest impediment in CA. Sure, New Mexico is getting their shots out very well, West Virginia is behind CA and NY when it comes to the % percentage of shots they've doled out, which is shocking when you consider the scale of the other two states:
2. New Mexico
Doses distributed to state: 1,442,775
Doses administered: 1,258,002
Percentage of distributed vaccines that have been administered: 87.19
28. New York
Doses distributed to state: 11,913,695
Doses administered: 9,261,975
Percentage of distributed vaccines that have been administered: 77.74
31. California
Doses distributed to state: 23,660,110
Doses administered: 18,223,412
Percentage of distributed vaccines that have been administered: 77.02
32. West Virginia
Doses distributed to state: 1,136,405
Doses administered: 874,459
Percentage of distributed vaccines that have been administered: 76.95
39. District of Columbia
Doses distributed to state: 514,945
Doses administered: 374,297
Percentage of distributed vaccines that have been administered: 72.69
States ranked by percentage of COVID-19 vaccines administered: April 1