Open and transparent is what Google wants. This wouldn't be a problem if we didn't live in a world of corrupt authority, corrupt cops, frame jobs, set ups etc. Julian Assange being accused of rape and it's open so even if he's innocent his reputation is ruined?
Julian Assange's own story of what happened in those two night isn't open. There also various other information about the issue that isn't open.
Shhhhh... don't give them ideas! It is not just Google, even Facebook, Twitter and and all sorts of other sites could pull the rug under Bitcoin's feet if they decided to utilize their user base. The coins would def be different in terms of the technicalities, they certainly would not require mining. I think the only plus(for us) is that most big companies would probably be to stubborn and would make the coins centralized around there own branch of companies similar to how gift cards work.
Facebook actually has it's own coins. The same goes for Amazon.
If Google, Facebook, Twitter, and Yahoo all tried to start their own cryptos, they would all try to 51% attack each other. Nah, better they mine Bitcoins. If any of them tries to 51% attack Bitcoin, the others would defend Bitcoin to make sure they don't profit unfairly.
I don't think Google would design a crypto-currency in a way that it can be effectively 51% attacked.
If you are Google and actually can sign things with Google certificates, why rely only on proof-of-work for trust?