A bit goody? I'd say it's totally ridiculous when their service promote anonymity and claiming no logs.
[Sarcasm]
Sure, but there's still a good sollution for OP: just update your T&C to state that there are no logs kept by the service itself... Sure, the logs are kept by several US based company's, some of which are rumoured to be honeypots for governement agencies... But still, no logs by the service itself...
[/Sarcasm]
Do note the sarcasm wasn't directed towards the previous posters but against whoever decided to include external javascript and include a MITM in their workflow...