In my "Iraq, El Salvador, and Refugees" post, I talk about how people tend to use political refugees selectively. You embrace a refugee if you are opposed to their country of origin. Derek Jensen asked in the comment section whether I was referring to the Elian Gonzalez case or something else.
In addition to Elian, there were two famous cases (dating from the 1980s) involving children from what was then the Soviet Union: Andrei Berezhkov and Walter Polovchak. Those individuals were embraced by conservatives, partially as a means of opposing communism.