The ability of the GOP and Democratic parties to exist is due to the nature of this nation, so no, they would have no justification for doing something like that. This is a freedom vs. no freedom issue, something entirely beyond quibbles and disputes between two parties that exist in freedom. To equate it to such displays a profound ignorance.
Furthermore, parental rights do not and have never superceded all other rights; parents have never had such a scope of control over their children that they can place them in harm's way and have justification for doing such a thing. Are you next going to argue that all abused children should be returned to their parents?
No this is a family vs. politics issue.
There was never a history of abuse with Elian. The only reason people had their panties in a wad over him was because of politics. There was not a single shred of evidence that showed Elian was the victim of abuse, and I guarantee you few children ever had such a microscope placed on them with the goal of proving that thesis.
Once abuse is ruled out, we're back to the democrat vs. republican analogy. And no mater how you try to twist and turn, that's exactly what Elian was all about -- politics, and the US quite rightly rejected the notion that a child can be removed from his father over something as trivial as politics.