Is it good policy for the US to outsource border patrol to the Mexican government?

Reading a segment on the NY Times (http://www.nytimes.com/2015/10/11/opinion/sunday/the-refugees-at-our-door.html?r=0) it reported that Uncle Sam is paying millions to Mexico to thwart immigrants from even making it to the border. The US have had this ongoing problem way before Europe even had a whiff of it, and I suspect the US knows it is a battle they are losing because for everyone they catch at the border, like kilos of contraband, at least three have slipped by. So, Uncle Sam wants to keep them from even getting to the border. Is this good policy or should better off and wealthy nations be more benevolent in helping poor neighbors or those fleeing conflict and turmoil to save their very lives? Is having the Mexicans do the heavy lifting leaves Uncle Sam feeling better about not looking like a callous douche with blood on his hands seeing part of what was said in the article was, “The U.S. government is sponsoring the hunting of migrants in Mexico to prevent them from reaching the U.S.,” says Christopher Galeano, who spent last summer researching what’s happening in Mexico for human rights groups there. “It is forcing them to go back to El Salvador, Honduras, to their deaths.” Whether or not the immigrants face danger, or death in their nation should Uncle Sam simply say ”Not my problem, I have my own domestic junk and the Middle East, you are on your own” and not care about what outcome the immigrants face if repatriated so long as none game the system?