A star of David on headstone is not proof! A menorah you remember on grandma's mantle is not proof! Your grandmother with prayers "en la dispensa" is not proof! suffice it to say there is no proof.
A lot of if's, maybe's and what if's etc..... But not a single shred of hard evidence. Read the evidence presented and look carefully. I imagine if you want to believe, nothing anyone can do about that. But credibility is lost when folks make this assumption and try and apply it to New Mexican genealogy.
The article referenced is a good article on the why and how come of the subject.
DNA cannot prove you are a Jew anymore than it can prove you are a Mormon or a Jehovahs Witness. These are religions and DNA cannot identify what religion a person belongs to. Jews are a religious group, not a racial group.
Keep in mind that most Jews, here and in Israel, are Semites, the same racial group as Arabs. And remember that Arabs were in, ruled Spain for over 600 years. The odds are if there is Semite blood in our veins it is most probably Arab.
Converso/Crypto Sephardic Jews in New Mexico prior to 1810 cannot be proven, at least not yet. But folks, mainly Hispanic women, seem to want to be Jewish. Don't ask me why, I have no idea why. Some have gone to the extent of joining the Jewish faith.
Here is another pearl of wisdom: "When Lineage is traced back to 1492, each person has (depending on whether a generation is counted as thirty years or twenty five) as many as 131,072 to 1,048,576 direct ancestors. Given these numbers, every southwestern Latino, Hispano, Mexican, Mestizo, Chicano or whatever we call ourselvs is practically guaranteed Iberian Jewish ancestry -- whether we like it or not."
But even that does not make one a Jew.