I would be surprised if this happened.
Office on the Mac is a no brainer because it is the market leading office suite.
Not so bing. But there is time to improve.
Searches for "how to remove bing" are pretty popular.
There are those who are members of the Microsoft church that hate any company that is in direct competition with their deity. This is sad.
I for one would love a much closer market share between the leading companies.