What, and reward their illegal actions?? The LAST thing we need in the US is a very large group, self-selected for their tendency to put their own selfish purposes ahead of obeying our laws.
Sorry, but I can't agree. By their very actions they have proven themselves unworthy of citizenship.
Heck, if you lived in those countries, you'd probably be crawling across the border at midnight, too.
When our 19th century immigrant parents came in, btw, standards were much more lax. All you really needed to be was healthy and free of TB, and have the address of people here who would house you or support you while you got on your feet. Many of the things such as teaching English, hygeine, etc. were done by private voluntary organizations.
Part of the problem is that we have a vast welfare state that we didn't have in the 19th century, and this has complicated even immigration enormously.