Your right, it does sound like that.
However, in this case Im the one going to jail if I dont allow the probing.
I'm new to bitcoins and just learning. But I've dealt with security in the US financial verticle for a while. Judging by a quick look around your site. I'm not totally sure if or how you would be regulated. It doesn't look like you deal with actual cash. Unless you physically accept cash (as in dollars/checks) or disperse cash to individuals (I didn't see this, but I could have missed it), then your obligations are likely defined by your interface institutions.
What you should to do is write up a risk mitigation plan (based on your interfaces) that you can present in the event that your services are questions by any authorities. Then implement it. That will give you standing for having considered the issue and addressed it within the current regulatory requirements. It will also save a lot of fumbling if you're drawn into any investigation or some sort of an audit.
As a minimum, you need a data destruction policy (that would be part of your risk mitigation plan) that is followed religiously - even if you do not have the entire risk mitigation plan. I say this because IF an investigation is started the first thing you will have to justify is any deleted data. Without a written plan (with evidence of enforcement), they can try to claim that you deleted 'evidence' or force you into expensive data mining to answer obtuse questions.