I haven't seen any real evidence that Mozilla has made any decisions designed to explicitly benefit Google. They've been pretty antagonistic actually. The foundation is investigating YouTube and the Mozilla employees I've spoken to seem to hate Google.
For better or for worse, I would still say it's the anti-chrome. Find me another crossplatform browser with a stack that's still as independent as Mozilla's. They have the engine, the add-on store, and everything in between.
I would be using Opera right now but they threw in the towel years ago. Now the brand is being milked by a private equity firm.