We can't avoid the collection of secrets without talking about the power of secrets. Governments collect secrets because uncollected secrets can actually be very powerful.
One of the sources of power that a secret gives you is the element of surprise.
Probably the scariest instance of this, to a government tasked with providing security to its citizens, would be a unique, valuable operational capability, particularly one that has to do with technology, that one country develops in secret.
They are paranoid about this because of the lessons of the 20th century. Sonar, fighters with jet engines, radar, and so very many other things. All the way up to something as dramatic as the atom bomb. All were secret at some point, and all conferred tremendous exclusive operational advantages at one point.
So that's one extreme and obvious example of the value of secrets: secret operational capabilities can mean that when conflict comes between nations, the nation with no idea of its neighbors' secrets could be terribly unprepared.
There are solutions to that that could avoid the need for secrets, but they're impractical: stop having wars, or get all nations to tell each other what their capabilities are (and would they be believed anyway?)
Looking for and collecting lots of secrets is the only way that governments striving for security can do their job, because you don't know what you don't know. Unless you look.
That's a big problem. And changing that value proposition seems unrealistic for humans -- or at least, it seems like the kind of change that hasn't happened since they started living in groups!
Realistic solutions to the problems raised by the Summer Of Snowden probably have more to do with drawing lines about what secrets are out of bounds, and trying to establish better oversight, than in trying to get rid of Intelligence by making governments transparent.