They haven't give up their content to Google/Facebook; they give up their distribution. Links to news sites on Google and Facebook are a form of distribution that link back to the original article. As for antitrust, that's somewhat difficult to argue when a new entrant (Facebook) is currently taking a massive amount of distribution and ad revenue away from Google. Who's to say that another new entrant, funded by the legacy news industry, couldn't do the same?
The legacy news media should have, and still should, focus on making or buying new distribution channels. Instead of whining to the government, they should compete in the market.