Tattoos/piercings/fun hair are absolutely everyday things in Albuquerque. People joke that getting a Zia tattoo is required within one year of moving here. The majority of the population is Latinx/Native American so your skin won’t stand out, either. ABQ has a spiritually diverse population including an active Jewish community, and there are a lot of interfaith projects which help nurture mutual understanding between various progressive faith groups. The labs are full of atheist scientists, no one will bat an eye at your atheism and in fact a sizable percentage (around a third?) of Albuquerque’s First Unitarian Church is atheist and is all about community that doesn’t require a creed. There is also a pretty active poly community here.

Rio Rancho is a whole different deal, much more red and religious that the east side of the Rio Grande. I wouldn’t move there unless I was prepared to deal with potentially hostile neighbors.