Since your statement is a little bit vague, I'm going to continue to assume that Mt. Gox complies with most or all subpoenas, court orders, and search warrants and honors all gag orders which might accompany them.  Particularly if they come from Japan or a government with friendly relations to them.  Please feel free to disabuse me of this misconception if you feel inclined.

Assuming that the conversation is supposed to be taken to mean transfer of information except those outlined above, it's not the protection of my identity information while Mt. Gox remains a viable entity which bothers me so much as what happens should Mt. Gox shutter it's doors.