Anymore, that's a distinction without a difference. The inundation from south of the border comes in both forms. To a large extent, the Mexicans with documentation vote in lock-step with the socialists. Their social Conservatism is a much of a myth as their economic Conservatism.
Nearly half of these so-called "Latinos", illegal aliens and otherwise, favor sodomite marriage. Aside from possibly Chile, name one country in South or Central America that can even remotely be characterized as Conservative. Nearly all are corrupt third-world cesspools with socialized medicine, soaring crime rates and all of the ills characteristic of Marxist ideology.
That is a different issue. We do need to reform immigration and make certain it is for the benefit of the Republic. But the invasion of this country by other across the southern border or by overstaying visas need to be addressed separately.