This is my family. Sadly, the language dies with my generation. My father speaks this dialect of Spanish... or at least, he used to. We moved to Northern California when I was very little. But, if we had stayed in New Mexico, my cousins don't speak it either. I asked Dad why he didn't teach me. "What would I do? Speak it to myself?" I took Spanish in high school. My father really couldn't help me, some of the basic phrases were different. As more immigrants moved into our area, Dad connected with them and started to learned the more modern Spanish to communicate with them.
I mean, this dialect formed because Northern New Mexico was so isolated. The Manhattan Project changed a lot of that. Suddenly, Los Alamos labs and Sandia labs connected New Mexico with the rest of the world. It wasn't as isolated anymore.
People have told me I could learn it, but I've tried. It's hard when I talk with my family, I'd rather have an adult conversation now rather than basically a preschool level one to learn the language. They say to really learn it, you have to immerse yourself. I lived with my grandmother for several months once while working at Sandia Labs. She insisted on speaking English with me, she was stubborn about it, and I was having a hard enough time understanding her in English.
Let me leave you with a funny story. My uncle had hired a contractor to help with his house. The contractor spoke common Spanish. And he angrily confronted my uncle in Spanish: "You stole my belt!" or at least that's what my uncle heard. "[You stole] mi cinta!" However, in New Mexico "cinta" means belt, but in Mexico it's short for "cinta métrica" or tape measure. (or so I'm told, I don't speak Spanish!) My uncle assured him he did not steal it and went ahead and gave him one of his own.