Much like the Constitution you mentioned, I feel we need some sort of document that explains the intentions behind surveillance and the limitations by which it can be legally used. We have no problem upholding the bill of rights, so why would it be hard to create a set of guidelines for future regulation of surveillance? Making it open is not a complete solution (though it's still a good idea), because we're still not setting any limitations as to how this information can be legally used. We need to do more to protect the rights of the citizens involved.
People like Edward Snowden have said surveillance can be used for good purposes. For example, fast forward and imagine auto insurance companies using this traffic monitoring data: Instead of structuring their prices based around age/gender/racial/class discrimination, they can use actual statistics to determine a little more about how safe someone is driving. Or instead of civil engineers having to waste time, money and other resources doing traffic studies...what if they could see the effects of their work in real-time? I think this technology could be used for very good purposes if there was just some transparency and rules surrounding it.