It's worth remembering that Android was developed in the first place to be an Open alternative to prevent Windows phone from taking off. Why would they go to all the trouble of developing Android only to prop up Microsoft.
Secondly, Google has market power in both the mobile device OS market and the online map market compared to MS, and is trying to leverage its position in the latter to hurt MS in the former. This seems like exactly your stated definition of anti-competitive behavior. How is this "intensifying" competition?
They probably figure if they let Google in on some things, then they open the door to supporting all of Google's apps like gmail, chrome, calendar, google docs, etc. Which goes against them wanting people to use outlook.com, their calendar, MS office and IE as their main browser.
I down-voted you because in this particular case this is not true, I'd say the opposite happens.