"We" is highly presumptive, but I'm sure a lot of people would. I think legal, constitutional surveillance does have its uses and is a vital component of law enforcement and security in many occasions. Improving that technology means that when it is used, it'll be more effective at what it's actually trying to do: find violent criminals and prevent violent crimes.
Of course, when you look at how China uses surveillance or how the NSA purportedly uses surveillance, things get much more murky.
My point, and I don't think I'm alone in this, is that powerful tools/weapons will always be used for "evil" as well as good.
It is naive to say "well, let's build the perfect surveillance tool and then trust that some government will never abuse it (against its own citizens, political opponents, other countries, or whoever)." Such a pure government has never existed, and will never exist, not while humans are running the show.
More succinctly: "absolute power corrupts absolutely."
We would?