Next we need to ban bars from selling beer for less than $3, because such a practice encourages illegal aliens to come here and have a good time.
I don't think that is an accurate analogy. First off, there are federal laws in existence right now that [should] prevent cards/accounts from going to illegals. That a lot of illegals are in fact getting credit [from federally regulated institutions] makes the bank's claims that they are following the law very suspect.
Based on the digital exams I undergo in the financial system when I want to undertake transactions, logic tells me that it *ought* to be damn difficult for illegals to be getting credit cards, mortgages, etc.. Logic also tells me that, with the number of illegals getting these things, some (probably many in certain areas) banks are not even paying lip service to the law.
Advertising practices that attract illegals shouldn't even matter because they shouldn't be able to get anything anyway. But they do. How they do is the big question that ought to be answered.