Government strength is relative. Weakening the American government is equivalent to strengthening other Governments. Would you mind telling us which ones you prefer and why they are morally superior?
No, building petabyte-scale data centers to spy on you and me is what's weakening the American government. We're not the problem, right?
The NSA is like the drunk who looks for his lost keys under the lamppost, "because that's where the light is." Not only does the American government's idea of a hypersecure state not make us any more free, there's vanishingly little evidence that it accomplishes its purpose of making us any more secure.
That sounds like a fair trade considering the cost in human lives... except that there's no evidence we're "trading" anything but our own treasure and freedom.