BoDog generally doesn't require any forms of ID for Direct Bank Transfer. I have made many, many transfers back and forth through there without a problem.
There is one caveat, though. A friend of mine referred his brother to play there. They are both square as can be, usually $25 bettors. Once his brother his a hot streak, like 12-0 or something, all of a sudden they locked both of their accounts and asked both of them to send over ID. This is well over a year after they had been playing at BoDog and both had made several deposits and withdrawls.
It isn't a big deal and I think BoDog seems to be a good book. That said, it is clear that they were operating with the idea that they didn't care who circumvented referral bonus rules as long as they lost, but as soon as they won, then they started dotting I's and crossing T's.