Sorry Tim , I think you draw the wrong line. Supporting terrorism is just plain wrong. Any righteous person has nothing to hide from the government.
I know it's a pdf you have to download and it is long, but you (and everyone else who believes this BS argument) really needs to read this : http://papers.ssrn.com/sol3/papers.cfm?abstract_id=998565 (titled "'I've Got Nothing to Hide' and Other Misunderstandings of Privacy")
It's why yes, even if you have nothing to hide it is a bad idea to allow government to have free access to everything.
And it doesn't even cover the situation here that by creating a backdoor, you are also essentially giving the bad guys (people who would use your info to steal from you) a backdoor too. There is no way to just limit it to the government cause the bad guys will find it (you think they'll be nice and just let only the government have such a neat tool?).