The Home School Legal Defense Association is trying to get the case to the Supreme Court, but it's a long shot.
I have a modest proposal.
If it appears that deportation of the Romeikes is imminent, they should flee to Mexico or Canada, and from there enter the U.S. illegally. Since the Obama administration has already declared it impossible to find all the "undocumented" immigrants we now have, or to prevent more from entering by securing the border, and since it has offered a path to citizenship for those "undocumented" immigrants they do become aware of, this seems the path of least resistance, with a reasonable chance of achieving the protections of citizenship as well.
Yes, I'm being facetious. But I hope the plausibility of this absurd tactic will illustrate how unfair the administration's policies are. Sneak across the border to get a better job, and as long as you haven't had more than a couple of DUI's and a handful of criminal convictions while living here, you can stay and become a citizen. But flee to the U.S. openly just to be able to escape the tyranny of enforced state indoctrination, and it doesn't matter how upright and law-abiding you are: out you go.
Maybe rescuing the Romeikes is a job for the Catholic Church...? We're a world-wide organization, and we've helped rescue the persecuted before. I'm just sayin'.