Welfare isn't what America is about at all. It's about freedom and liberty. It isn't about military troops going door to door asking for "papers". It isn't about government forcing employers to pay exorbitant wages to labor union thugs.
No one that I know of is for open borders. Do you know someone? You do know that we haven't had open borders since 1885 don't you?
America isn't about subsidizing cheap labor, either. If someone can't afford to stay in business without the taxpayer picking up the slack, they should go out of business.