Please note that we do not live in the age of robber barons anymore. "Corporate executives" are hired by the shareholders of a company, and any profits that they make are also made by everyone in the company who owns any shares. The ultimate irony here is that union labor in the U.S. has reached the point where they don't even keep a straight face when it comes to their own interests. If you ask a UAW leader, he'll insist that we should all buy UAW-manufactured cars from Ford and General Motors. But if you look at his union's pension fund activity, you'll find that they are far more interested in a 15% return on Toyota (non-UAW) stock than in a 10% return on Ford or GM stock.
I agree with you that this country has a serious immigration (legal and illegal) issue to contend with. What most people don't realize, however, is that immigration is the only thing that is going to keep this country from sliding into a deflationary spiral similar to what Japan is going through right now and what Europe will be going through over the next 50 years. If there is any chance in hell that the Mexican immigrant sneaking across the border today is going to pay $400,000 for your house in 15 years, he's going to be permitted to sneak across the border. Because I've got some news for you -- if he isn't around to pay $400,000 for your house in 15 years, then there's a good chance that nobody will be paying that much for it.
The only Mexican immgigrants sneaking across the border who can pay $400,000 for a house in 15 years are those fairly high up in the drug cartels. $400,000 is a fairly steep price for an American working for American level wages, an illegal working for $5 an hour needs government housing or they live in colonias where they can build their homes out of discarded wood pallets.