For users who are willing to give up the web interface, there are many open-source email clients that provide strong encryption (e.g. Thunderbird + GPG).
Google's business relies on them being able to examine your personal data. That's how Gmail is paid for.
Perhaps someone who has a different business model e.g. Samsung, Microsoft, or Apple should do this.
Trusting "someone" on a distributed network to store information for you long term isn't a good idea. They disappear and your data is gone too.
Also, if you can find them to request the data, a search warrant can find them to request it, too.
Also, crypto doesn't help. It would be foolish to assume gmail messages aren't encrypted on disk. The keys have to be stored somewhere. End users can't and won't securely store key material. Store them on the server, and it's subject to the warrant.
If you dont want to use Gmail for some or all messages, just don't use Gmail.
But I agree with you that it's very different from anything they do. Also, too vulnerable to piracy or cloning. Aaand it may not be feasible to run their bots in a weak machine.
Gmail ad targeting isn't a bit of JavaScript that can run in real time in the background. It's a series of huge map reduces touching data sets larger than any client computer could store. Just indexing a pre-prepared list of mothership ads would result in a horrible user experience (far poorer ad targeting).
Google has a vested interest in only showing you ads you might be interested in; it doesn't work as well as it should, but it works magnitudes better than the state of the art 10 years ago.
And if the protocol is sufficiently closed to prevent open-source clients, why would anyone use it at all? Wouldn't that be the same as the XMPP->Hangouts transition that infuriated everyone a few weeks ago?
When the provider can't access your data, if you lose your password, all of your data is gone forever. If you are willing to live with that, alternatives already exist, as others pointed out.
Imagine a Google Glass wearer and a NSA order to record everything he sees?