I think this would be a difficult fight because they all can claim serious competition. For instance, probably your best case could be against Google and their search engine advertising, but they could easily say that they are competing against all advertising mediums in the world. Airbnb could say they are competing against hotel chains. Uber says they are competing against taxi's. Facebook is competing against 100's of social networks. While I agree something should be done to help business compete in these new mediums they are not defined enough to draw a line in the sand.
To your point though you look at a situation where a single company, Google, could shutter a businesses website on a whim... that seems like a valid antitrust case. I'm just not sure how you would make the case though.