My Opinion & Consistencey
My Opinion on what naming convention we should use: that which our
relatives used: Given Name, Fathers Surname, Mothers Surname
If we go mixing it up with the US style where sometimes the mothers
Comments
Joseph:
I think genealogical standards would require that people list ancestors' names the way that they listed them themselves. Even spellings should ideally be kept in the original. (Obviously there are many cases where different priests would spell the same name differently so then we are forced to choose).
Thus in modern times, anyone born in Mexico has the naming convention of which you speak, which I think is actually by law Given Name(s), Paternal Last Name, Maternal Last Name.
However, this is a recent convention as as you go back in time you will find that people often used their maternal last names, often even the surname of a grandparent not borne by either of the parents. In such cases, we need to keep to the naming conventions of the time and use the names actually used by the person.
See the thread about this at:

Naming Conventions