You reach them thru the jobs issue. Immigrants are taking American jobs and depressing wages. We have a surplus of labor.
You also do not contribute to this growing voting block by importing more of them. Do we really need 1.1 million legal immigrants a year, two thirds of whom are future Dem voters?
Sell the American Way and convince people that we measure success by how many people get off the welfare state. Not how many are on it. Most will ignore, but some will be convinced. Our future is dependent on that happening.
We need to stop importing poverty. 20% of the adult legal immigrants lack even a high school diploma. We are importing hundreds of thousands of high school dropouts annually. The American Way won't resonate among people who want more services from Big Government.