@bythewell - I don't really like it myself, but I don't think there is any way to avoid it really, and at least when they are kids it could help if they go missing. Particularly if they are very young when they go missing, because it is all too easy for children to forget where they come from after they have been abducted.
I was fingerprinted when I went overseas with a government agency and I was quite annoyed about it in principle. I know that there are a lot of arguments about privacy and so forth.
But, at the same time, I just can't see how that is ever going to apply to me. I'm not planning to commit a crime and if the government ever gets bad enough that they use fingerprinting illegally I think they would probably be bad enough to just make up evidence without caring too much about official fingerprints.
Besides, with the rise of electronic fingerprinting as a way of locking devices, I don't think this is a kind of privacy that anyone will keep for much longer.