I don't think there is an easy way to solve this. From law enforcement's perspective, big tech companies have already done the hard work of getting users' data; all they need is a warrant or a NSL or any other magic ticket. That is the problem we should solve.
Disclaimer: I work on Google Analytics.
This statement probably would have made more sense when Google wasn't an ISP.
https://news.ycombinator.com/item?id=5182359
not sure if this applies to Chrome versions, but if you are using Chrome, and dont trust Google, im not really sure what you are thinking.
http://www.slashgeek.net/2012/06/15/how-to-be-completely-ano...
Also blocks as many other tracking scripts as can be found. I've found it to be faster than ghostery etc.
I don't think there's really a reasonable expectation of privacy for that sort of data. You're already sharing it with every other website you visit.