I worked with a H1-B, quite a good man, in fact, and the INS was constantly making him document where our company had advertised to fill his position, as well as making sure he was getting paid at what they thought his grade was worth (to make sure we weren't trying to save a few bucks on a cheap immigrant). So, if Florida enforcement is anything like here, the laid of Americans can probably start a fire storm by protesting to the INS.
Our church group helped a couple of the families but they have moved away now.