math,
Sadly you are getting near the truth there. The Danish people's party is basiclly a racist party that does not like foreigners, but they have a lot of power, and it seems to be their policy that when they have to give foreigners rights they make damn sure they make it difficult to understand them.
The immigration office is very bad for telling people false information about their rights. I have several horror stories about them messing people around for no good reason over relatively simple things. It is disgusting, but the quickest way to get something done at the immigration office is to take a blue eyed dane with you, otherwise they just seem to go out of their way to misinform foreigners of their rights.
As for the passport thing, what they seem to do in practice, is say that the baby meets the requirements for the nationality test and therefore gets the passport. This is certainly what has happened to the babies I have known to get the passport. I know not all EU countries are like this (I know someone who ended up being stateless until they were seven years old as the country they were born in only gave out passports if their parents were from that country, but the country their parents were from, someowhere in south america, only gave out passports to people born there!).
Anyway did not wish to start an arguement, was just querying why more people do not do it, as once you cross a border it makes things difficult for the authorities. personally I do not think Vicky Haigh is the best exmple to use for the state behaving unfairly, as if I am correct she was the woman who tutored her daughter to make flase claims of sexual abuse against her father, and the little girls name and picture has been plastered all over the internet with details of these accusations.