"Obey God rather than men" means "obey God rather than men".The first part "obey God" means if God tells you to do something, then do it. Would God tell someone to do something that flatly disobeys Scripture, especially if God had not provided clear direction in Scripture? No. Does Scripture endorse kidnapping children who are raised by immoral people? No. Therefore, we can say with certainty that God did not tell anyone to kidnap this child. Does God say that we should generally obey human authority? YES! Therefore, this is not a case of "obeying God rather than men." Rather, it is a case of disobeying both God and men. And, using "obey God" to mean "disobey God" is an extreme example of eisegesis.
This is a far cry from a situation where the governmental authority says do not teach the Gospel or where the governmental authority demands complicity in the murder of millions of people. I can point to Scripture that commands us to teach the Gospel. I can point to Scripture that proscribes murder. This is a case where the government says don't kidnap children just because you find the parent's moral choices to be questionable. I cannot find Scripture that commands or even endorses kidnapping. When you find that passage, please let me know, and I will change my position.