Why not ? !
You're worried about hurting the delicate feelings of people who've chosen to break our laws with their very first step into America ?
To be accurate, many never cross the Rio Grande, nor are they from Mexico heading El Norte. It is an entry point for people from all over the world. Some flying into Mexico and using hired “Guides” to ease them across the border then provide transportation to the interior of America, they are coming by sea as well, as well as from the North thru Canada.