That would be an antitrust action, which can certainly be done with violating the Fourth Amendment. I generally take a dim view of antitrust regulations, but there are exceptions. If they want to break up Google, I have no objections.
Just the other day Fox and Breitbart released emails from Google executives in which they openly admitted toattempting to influence the election in favor of Hillary Clinton. Some of their activities are in direct violation of federal election law.
And we all know how effective they were.

Onward and upward,
airforce