Indeed that's the wrong race. Economically the illegal immigration in US, the way it currently is, is affecting negatively the most unskilled people and pretty much positively everybody with more than high-school education.
Since we were just on the topic of international trade etc., I want to say that this to me seems a rather complex problem and I don't think anybody has a good solution that will make everyone happy. However, there was one US politician in the presidential primaries who said that that is something he is concerned with - how to reconcile these opposite requirements. I liked that. And I am not going to even be commenting why propaganda works, but it does, always did and probably always will. As the main character in one of my favorite movies would say 'Bummer'.
May be there will come the international equivalents of trade unions (I doubt it), since in the old days that's what counterbalanced the exploitation. I think at one point the unions have been helpful, but when few years ago I found my job in a multimillion UAW-initiated push to convert it to unionized I most certainly voted 'No'. Somehow the idea of fighting the various beurocratic problems with more, but different beurocracy didn't quite add up for me. Instead when a beurocrat decreased my pay by 30% and restricted the ways I could do a certain job I was doing, I just told him that I'm done - I even found and trained my replacement but warned the beurocrat that in 6 months he will either have to reverse things back to where they were, or everything will start costing him 2x more. Six months later it turned out I was correct and he had to reverse the salary and also spent 2x the money he thought he'd saved. But why I'm telling this story? Ah, yeah just to illustrate that the market does work fairly well without too much regulation.
In any case back to the original topic - there are 2 separate issues that I see getting mixed
(1) Should there be a language requirement for legal immigrants? Apparently that's the only thing that can be enforced, so let's look at it. Well are legal immigrants not wanting to learn english? Is it worth the overhead administering a test and deporting back those who fail? I suspect that the answer to these is 'No', meaning not worth having such requirement as the vast majority of legal immigrants are more than willing to learn at least working level english. Those who don't are naturally confined to jobs where this doesn't really matter, and it's really their own problem. I don't see why the society needs to intrude on everybody's life to deal with these few cases. If you believe the numbers are significant we can discuss that.
(2) Illegal immigration (aliens/felons/criminals...). Obviously these people are not going to be affected by any requirements to learn english - if the authorities can enforce the language thing they clearly could enforce their immigration status before that.
Perhaps the second group is the one that isn't being liked for not speaking english, or may be for all kinds of other reasons and the language part is just the fuse.