Politifact's parent organization,
Tampa Bay Times, is part of the MSM, and not a third-party watchdog. It is incredible that they have brought fact-checking into the mainstream, but their ability to have done that is at least in part thanks to their being a part of it. Anyway, they don't provide stats grouped by people (EDIT: they do, my bad!).
Fact-checking cannot provide the kind of metric you talk about for rhetorical devices that are not drily descriptive, such as irony, hyperbole, allusion, etc. It helps that the readers have a way to look up the facts if they don't know them, but the analyses need to be read critically, same as the original statements. It's no good if you distrust one set of people and uncritically trust another. On what basis? You don't trust the politician, that's good. You don't trust some media, that's also good. But whoever in the media you choose, don't trust them blindly, they are just normal people, not superheroes.
Take, for example, this statement: http://www.politifact.com/truth-o-meter/statements/2016/may/... There is no clear-cut right or wrong. Same-day voter registration puts a pressure on the bureaucracy to be more forgiving and less thorough; that's a fact. But is that driven by the political elements who benefit from illegals voting, and do people on either side actually believe that it has an effect? That's not a factual question, that's a question for a political debate. Mr Trump's hyperbole captures this with a surprising pith.