Its' not that they are Hatian, it's that they cut the line to enter this country, they cut the line to get welfare benefits, and their legal presence in this country was supposed to only be temporary.
If we need them as healthcare workers, have them come on work visas with a path to citizenship if they stay off public assistance.
Meanwhile, the State Department can get off its ass and work with the Organization of American States to put Haiti back together again as a stable, functioning, and hopefully prosperous nation-state.