It always astounded me when one of the most anti-immigration-of-any-sort people I have ever met was a woman by the last name of Gradziulis. (She is now deceased.) Now you know, you just know that that name was NOT present on the Mayflower, nor is it a Native American name, or even something that's been "Americanized" from being here so long. As she was more than 60 years my elder, I bit my tongue rather than pick a fight with her, but I was always astounded.
Like gun laws, immigration laws do not work if they are not enforced on anything but a sporadic basis.