Hypocrites who seek to make the government do better things even when they're doing similar bad things are still seeking to make the government do better things.
The morality of an act of activism does not change based on the personal failings of the person engaging in it. (It can change based on the intentions of that person—eg, if the thing they're trying to get the government to do would also make it easier for them to get away with currently-illegal/immoral acts, but that's a separate issue from mere hypocrisy.)
For the both the situation my camera is squarely 'pointed at' the center of my backyard.
Why?
dont wait for others to do the right thing, get your own house in order, then help the rest of the world.
For one, you could likely not avoid it if the gov did it, while you can "just" chose to not use that site.
For second, just now the post about the auctioned japanese gov disks with tax payer info on them, illustrates how such sensitive data can be lost.
And third, the risk of abuse. All it may take is an election.
So I think it's ok, although not the best, to do have a look at those in power even if the looker has a dirty house themselves. The alternative is worse.
Government or not.