Hiding non-suspect behavior is, for everyone watching, the same as hiding very suspect behavior. If you do this and make a single mistake (anything really, speeding could be enough) there could be a red flag on your file that makes sure your possessions will be searched (and possibly taken) and be prepared to spend some time in jail.
I get it, everyone should be hiding all their activity online so that hiding your activity online isn't suspect behavior. But I really don't think that will ever happen and I'd rather be an open book about all my behavior then try to hide as much as possible while becoming a target.