While Nebraska needs to loosen up on the laws they have, ultimately it was the responsibility of the family to investigate the laws of the state that they were moving to and make sure they were abiding by the laws and homeschooling legally.
Now, if they disagreed with the laws they had two options: a) abide by the law while trying to get the law changed, or b) dont move to Nebraska.
I dont see this as a case of persecution. The article doesnt really give any specifics about what was in the law that they were breaking, so without that information it's hard to determine if Nebraska is truly "homeschool friendly" or not.
Know the law, live by the law so long as it does not demand that you break God's law... and try to change the law.
By the way, for any homeschoolers reading this... it's foolish to not be members of HSLDA!! It's a wonderful organization, doesnt cost much for a lifetime membership, and you have free legal help (pertaining to homeschooling) 24 hours a day.
Krispy