Only a few of them did. It’s been rather well established lately that they came across the Aleutian land bridge and their origin is really Central Siberia. No, I’m not gonna give you a cite. Look it up for yourself.
Siberia would explain their love of communism but it doesn’t explain why they all speak Spanish.
Your assuming Hispanic are mostly of Native America extract not Spanish's extract... not so
Not all Hispanic are dark complexion nor is a dark an indication of Native America descend..
Spain is a Mediterranean country that was occupied from 711 to 1492 by the Moors, a mix of African, Berber, and Arab Muslims...
The Spanish of 1492 that came to the new world were very much intermix heritage with the African, Berber, and Arab Moors…
In fact the concept of "reconquista" really comes from Spain trying to push out the The Moors and the reason it mirrors the most aggressive aspect of militant Islam
The Reconquista (a Spanish and Portuguese word for "Reconquest"; Arabic: الاسترداد al-ʼIstirdād, "Recapturing")
In Mexico, the wealthy ruling elite is relatively tall and light-skinned. They are the descendents of the Spanish conquistadores.
The vast majority of Mexicans, dirt-poor, most of them wanting to move to the US, tend to be shorter and more dark-skinned; they are the ones descended from Siberians.