You missed my point. There's no reason to think the US cares why they chose to homeschool their children. And my comment was about the US decision, not the decision of the parents.
As far as I understand the verdict of the US judge indeed indeed only focused on this question and left religion out of it. So yes, you're right.
However, I'm at a loss - as ZeeGerman aptly pointed out - how this could be grounds for asylum. This is obviously another issue where there are differing views on such rights on both sides of the Atlantic. Admittedly, within Europe, Germany is the most extreme case, with a total prohibition on home schooling, where other European countries have provisions for home schooling but not as liberal as in the US. I note, however, that German parents before have gone to not only the German court, but also to the ECHR, and that the German ban on homeschooling has been upheld there.
They preferred to homeschool their children. Which means private schools are no remedy for them.
Frankly, I can't imagine they couldn't find a suitable school in the Stuttgart area (they live in Bissingen an der Teck). I scoured some German news sites and blogs, and haven't found a definite time line, nor an interview in which they were asked about that. They were approached by the HSLDA, who were eager to establish a precedent of German "refugees".
As far as I can tell, the US doesn't care why they chose to homeschool, nor do I see any reason the US should care. Our government thinks it's a right, that is enough.
However, I think it's stark then to say it's grounds to grant asylum. That the US thinks homeschooling is a right for its citizens/residents, doesn't mean it has to admit anyone from all over the world for that reason.
I note that the ACLU is not just a pro-first-amendment organization, but is staunchly liberal.
I did express myself poorly, or incompletely. The ACLU may be liberal, but it defends communists, liberals, conservatives, fascists, alike - and it restricts itself to 1st amendment issues. Per wiki, the HSLDA shows its colours by advocating Christian causes outside the homeschooling issue.
That too is irrelevant. Most people who say, "Jesus is the son of God and my personal savior" do so out of religious reasons. But freedom of speech protects everyone's right to say that, regardless of why they might do so. If people have the right to home school their children, the reasons they might have for choosing to do so are irrelevant to that right.
Which brings us back to the question whether homeschooling is such a fundamental right that it warrants giving people asylum. And frankly, I think that's overt the top and offends the European courts that didn't rule it as such.
It also doesn't take into account the possibilities the parents had: sending their kids to a "suitable" private school, which are funded in Germany by the state for 70% of the funding public schools get. It also doesn't take into account the reasons they had for pulling their kids from the public school. What I found in this respect were two statements: for one, that they thought their kids heard "obscene" words - not specified which, so I suspect it's just the normal words for sexual body parts. For two, that the school teaches the kids more about witches and vampires than about God - my interpretation: they read Harry Potter in class and not the Bible. Gasp.