How does the public react when political figures state that millions of illegals workers do not compete with Americans for jobs in the US?

Do people get mad when political figures tell them that a major economic trend, like millions of illegal workers competing for jobs, is not happening? 

People do not have a chance to get angry because the mainstream media refuses to report what entities such as the Federal Reserve publish, regarding the negative effects of immigration on youth employment in the United States.

 
This is the abstract of a 2012 research paper by a Federal Reserve economist, "The Impact of Low-Skilled Immigration on the Youth Labor Market" jstor.org/stable/10.1086/662073

The employment to population rate of high school–aged youth has fallen by about 20 percentage points since the late 1980s. One potential explanation is increased competition from substitutable labor, such as immigrants. I demonstrate that the increase in the population of less educated immigrants has had a considerably more negative effect on employment outcomes for native youth than for native adults. At least two factors are at work: there is greater overlap between the jobs that youth and less educated adult immigrants traditionally do, and youth labor supply appears more responsive to immigration-induced wage changes.

The actual Federal Reserve publication was released the year prior, see Smith, Christopher L. 2011. “Polarization, Immigration, Education: What’s Behind the Dramatic Decline in Youth Employment?” Federal Reserve Board of Governors Finance and Economics Discussion Series 2011-41.

In September 2014, the Federal Reserve released another research paper, "Labor Force Participation: Recent Developments and Future Prospects" federalreserve.gov/pubs/feds/2014/201464/201464pap.pdf [PDF] which confirmed the findings from the 2012 paper.

The breathtaking drop in labor demand in 2008 and 2009 may mean that this time really is different... 

Another ongoing source of crowd-out may be the increasing population share of less-educated adult immigrants, as some evidence suggests that the displacement effect of immigration on the employment of younger persons is much larger than on the employment of prime-age adults.

The situation is not improving. In fact, policymakers should be prepared for structural unemployment to increase, not decline, over the next decade:

...while policymakers can view some of the current low level of the participation rate as indicative of labor market slack beyond that indicated by the unemployment rate alone, they should not expect the participation rate to show a substantial increase from current levels as labor market conditions continue to improve. Indeed, as we show in the final section of the paper, projections from our model point to further declines in the trend participation rate over the next decade or so.

These are not white racist men over the age of 50, but labor economists with the US government. They are not politicians trying to create fear of immigrants. I have not cherry-picked the data. Instead, mainstream media such as The New York Times[1] (emphasis mine):

...discuss a social problem obviously impacted by immigration — overcrowding, low wages, increasing poverty, etc. but assiduously avoid any mention of immigration. To much of the media, using the word immigration in the context of any social problem has become a taboo.

[1] Federal Reserve blames immigrant kids for robbing jobs from 'native' U.S. teens