Depends on what part of NM you live in. On the High Plains of NE NM you may have drinkable water from a windmill.
SE NM you might get good water or alkali water which is undrinkable.
Same for NW NM. Some water there is so bad you cannot drink it! I once started up a remote pump and took a swig of the water as it came out. It was undrinkable. It tasted like a very strong mixture of alkali, baking soda, sulfur, and salt.
Don’t know about SW NM.
For water, you need three things to survive in the arid areas of New Mexico. First a reliable well with a windmill to pump water, even in areas where it may have somewhat high salt content. Second, a water harvesting method to capture runoff water from roofs and into cisterns or tanks for storage. Third a method to purify water to remove bacteria and/or salts. The water captured from a roof system will have the least minerals but have contamination from birds. Purification is a must. Water with salt will require a solar still or some other method to remove it. But usually a cistern system with purification can meet drinking water needs while water with some salt can provide water for other domestic needs.