[Mojave]

I don't see how "Family Values don't stop at the Rio Grande", means anchor babies, since those babies were born north of the Rio Grande.

To illegals aliens from the south of it.

[Dane]

To illegals aliens from the south of it

Still don't get your drift.

JMO, "Family values don't stop at the Rio Grande" says to me that people are basically the same and that family values(hard working, family oriented, religious etc.etc) in the US are the same as they are in Mexico.