At the end of the sermon of the mount, Jesus uses a parable that involves hell. That parable can be found at Mathew 25:31-46.
Jesus says that the eternal judge will decide whether you go to hell based on whether you fed the least of these when they were hungry; gave water to them when they were thirsty; gave clothes to them when they were naked. (If you follow the biblegateway passage you can link to a commentary that says Jesus was not talking about the poor in general, but how people treated his messengers. Whatever lets you sleep at night, buddy.)
Our immigration policy is broken because it is exploiting people. These people, the least of these to use the phrase attributed to Jesus, work for less than the minimum wage, die in the hundreds in the Arizona desert, and are subject to the wrath of the people who benefit from their service.
When people are allowed to work in the United States without documentation they become victims; and we who enjoy the fruit of this low wage work force are culpable.
The greatest effort to address this problem has been to make life more difficult for the exploited workers. Maybe they'll stop coming if we treat them bad enough seems to be the logic. That is as evil as it is stupid. If people are literally risking their lives to come here and be underpaid, do you think they'll stop coming because they cannot be released on bail? because if they're hurt an ambulance wont respond? because they can't attend junior college?
Here's my suggestion: Make it possible for employers to verifying status (National ID, National database, if it really is hard now); Prosecute employers who employ undocumented personnel; Issue sufficient work visas to accommodate work force need.
People here legally will be able to stand up for themselves, they will be less of a drag on wages. If they are in the tiny, tiny percentage that makes enough money to pay income tax they can. (Although, obviously most people working these low wage jobs, even if paid a minimum wage, will not make enough to pay income taxes.) We will take money out of the hands of they coyotes. We will end the horrific environmental tragedy created first by humans trampling the desert and next by the construction of walls and fences. People living on the border will no longer fear constant trespass. Human beings will stop dying by the hundreds.
I believe it is a moral imperative and a mandate from Jesus Christ to end the exploitation these people.