This is a country of immigrants. Immigration is a complex issue, and one that is subject to incredible rhetoric and callousness in its discussion. Just remember this - you come from immigrants, somewhere, sometime. The bible speaks very plainly about immigrants - do not deny justice to the alien, because you yourself were once aliens.
While I agree with you that it is bad taste to joke over deaths, I would adress a couple of points of your post.
Yes, we are a country of immigrants. As a matter of fact, I am immigrant. However, the phrases "we are a country of immigrants" was coined in the days when the time-honored title of "immigrant" was understood to mean a legal immigrant who came to this country in accordance with the Rule of Law and the term was not used as a Politically Correct euphemism for "illegal alien".
In regards to deaths in the desert, I fail to see how that qualifies as a matter of "justice".
Death in the desert qualifies as death because somebody foolishly challenged Mother Nature and lost.
Mother Nature is not Politically Correct. She is a rather mean mother. If you do something stupid, Mother Nature will have no qualms about killing you.
Within the line of sight from my own house, white, middle-class recreational kyacker have died in our bay because of their bad judgement in challenging weather they should not have challenged.
Within the line of sight from my own house, white, middle-class mountaineers have died on the slopes of Mount Rainier on a rather regular basis by climbing in weather they shouldn't be climbing in.
Those people foolishly challeged Mother Nature and Mother Nature killed them.
Trekking through the American Southwest desert without the "Ten Essentials" to last you from start to finish qualifies, not as a matter of "justice", but as a matter of extreme stupidity and recklessness when dealing with Mother Nature.
If you think we should have open borders and that we should give everything to illegals, then put your money where your mouth is. Go down to the border with water and a first aid kit. Find some illegals and take them into your home. Feed them, house them, clothe them, educate them. Take in as many as you can afford. Do it even if you and your children suffer and do without, even if you have to take on a second or third job.
But no. You're not going to do that. I bet you have locks on your door. You're just very good at telling other people that they should gladly suffer, lose their money, and sacrifice their children's future for illegal aliens.
Nowhere in the Bible does it say that the government should take money by force from people and give it to lawbreakers. That's theft. People who want the government to do that are coveters. I don't have a Bible with me, but Paul said that anyone who is not willing to care for those of his own household is worse than an unbeliever. God requires us to care for our own first. He does not require us to sacrifice our children's future in order to care for lawbreakers. The Bible also says we should be in submission to those in authority over us. That means obeying the law.
If you want to be "compassionate" to illegals, bully for you. Donate to charities that give to illegals. That's what God wants...voluntary charity, given out of the goodness of one's heart. NOT government taking our money by force and giving it to envious, covetous, lawbreaking people, all in the name of votes, cheap labor, and ethnic power!