Sure they will.
Don't remember trying their beer, but just aren't many beers that are as bad as A-B, and the fine folks at InBev are buying up everybody and anybody that competes on taste and quality.
What's InBev have? 40% of the world beer market?
According to a quick Google search, a little over 20% before the SAB deal. SAB has close to 10%, but they will have to slice off Miller (and probably Coors).
Scroll about half way down here: http://www.statista.com/statistics/257677/global-market-share-of-the-leading-beer-companies-based-on-sales/
Since they don’t make beer that 40% is a bit high.