There is often a gulf dividing capitalists and free market advocates. Plenty of capitalists are more than willing to embrace regulation if it protects their interests. The likes of Facebook and Twitter may jump at the chance to cement themselves as monopolies via some kind of nationalizing/utility regulation.
At this stage, both major parties in the US seem to be moving in this direction. The Democrats are no surprise - what is a major surprise is how quickly the Republicans and people like Clarence Thomas are moving to agree. But getting these two sides to agree on the details of the implementation will be no small feat. So while I think some regulation is almost inevitable, I can't predict what it will look like.