... are using a platform "you" don't trust.
Really? That's not really odd.
At least, it's not odd, if that usage and what it entails is the denominating part of the persona in this question.
Here's a thought. If you are so concerned about the NSA that you think Google's cloud is a problem, why are you running the OS developed by Google?
I'm not, and I find that position naieve. For the overwhelming majority of people who are not a cross between Bruce Schneier and Linus Torvalds, a threat model that tries to protect against the NSA and GRU and MSS pretty much requires avoiding anything with a network connection. If you have a smartphone, you should probably just use its default application store.