"The Coast Guard credited a Customs and Border Protection marine patrol aircraft with spotting the boat about 35 miles south of Mona Island. The 22 men and four women soon were met by the Coast Guard Cutter Reliance, which transferred them to the Heriberto Hernandez. The Hernandez took them to a Dominican Republic Navy boat."
If that means they were returned to the jurisdiction of the Dominican Republic, the Coast Guard did the right thing.
This is the way ALL "at sea interventions" should be handled.
Return to country of origin.
If that is "indeterminate", offer them a stay at Guantanamo in lieu of such return.