Best to add a text over your id's or passport like "copy for xxx ICO". So it is pretty useless for other illegal activities.
Perhaps you can do so.
Another option is to use a document that will expire soon.
Russians have a passport and driver's license. A foreign passport is valid for 5 years and it's easy to make a new one.
Of course, this is not a 100% guarantee of protection, but at least we will be sure that after a certain date our data will become irrelevant.