They would. And apparently they're doing it with some success, judging by all the passwords leaked lately. We can assume there were other "successes" that were not made public yet..
So yeah.. enforcing https may be the same as trying to patch a hole when the bag is wide open..
It will simply become even less feasible for sombody to host a site without the blessing of the big cert guys...
Federalization of the internet is where we are going, but I susppose that's just the faith of all media channels..