This is where we continue to diverge on that topic. Immigrants want a shot at being contenders. All of them. Some of that contention is for welfare; some of it is for competition; some of it is just because we have a decent place to live and they don't.
I'm sorry, but we need to provide for our own people today. We don't have time to sort out who will become a good American, a patriot who would lay down his life for this land, and those who would just come here because it's "nice." Hell yes, it's nice. Far nicer than anywhere else, I can tell you. Abolishing welfare will eliminate exactly 5% of the motivation for people to come. And potential enemies, including people who want to build Aztlan, or secede with the People's Republic of Kalifornia, or build their own New Yorkistan are indistinguishable.
Immigration: give it a rest. A long rest. There are several other beefs I have with the Libertarian party, but I won't go into it now.