Just because it reads in the Pokedex doesn't mean it's not a hack.
However, if this Mew is legit, then there must be something wrong with the Bank itself, since I've heard people complaining about how their legit Pokemon they caught/raised not transferring. Perhaps this is the same case with your Mew.
If it doesn't transfer, than there's nothing you can really do to fix that. Sorry about that. :(