Thanks for helping my point! Of course construction wages are much above minimum wage, even for the Illegals. That's the point, they can make real good money while still undercutting the legal, regular workforce.
I read an article about a Southern Cal construction Illegal. He made money enough to live here, send a sizeable amount back to Mexico, take two months off to travel back to Mexico around Christmas, and pay $2,000 each way for a coyote to smuggle him across the border.
Picking fruit and mowing lawns? A few do that, sure, but many take good jobs from Americans.