I do think that Politifact has a slight issue with bias in that they tend to be a little harder on Republicans as far as their final verdict goes - they're more likely to give them a "False" where a Democrat in a very similar situation would only get a "Mostly False," for example. But the good news is that they don't limit themselves to simply summarizing the issue with a few words; they go into detail and explain their reasoning, the research they did, what the record says, etc. The same goes for most mainstreaming fact-checking websites. If you have a problem with their determinations, then be specific and talk about where they went wrong. You can't just dismiss everything they say by crying "bias!"
To answer Dave's question about Trump's objections,
here is the transcript of the debate. Trump interrupted Clinton to dispute what she was saying four times:
Clinton: I find it ironic that he is raising nuclear weapons. This is a person who has been very cavalier, even casual about the use of nuclear weapons.
Trump: Wrong.
Clinton: He has advocated more countries getting them. Japan, Korea, even Saudi Arabia. He’s said if we have them, why don't we use them which I think is terrifying. But here's the deal. The bottom line on nuclear weapons is that when the president gives the order, it must be followed. There is about four minutes between the order being given and the people responsible for launching nuclear weapons to do so. And that is why ten people who have had that awesome responsibility have come out and in an unprecedented way said they would not trust Donald Trump with the nuclear codes or to have his finger on the nuclear button.
Trump: I have 200 generals and admirals, 21 endorsing me. 21 congressional medal of honor recipients. As far as Japan and other countries, we are being ripped off by everybody in the world. We're defending other countries. We are spending a fortune doing it. They have the bargain of the century. All I said is we have to renegotiate these agreements. Because our country cannot afford to defend Saudi Arabia, Japan, Germany, South Korea, and many other places. We cannot continue to afford. She took that as saying nuclear weapons.
This isn't true. He specifically talked about nuclear armament for Japan and South Korea
here and
here.
Clinton: At the last debate, we heard Donald talking about what he did to women, and after that a number of women have come forward saying that's exactly what he did to them. Now, what was his response? Well, he held a number of big rallies where he said that he could not possibly have done those things to those women because they were not attractive enough for –
Trump: I did not say that.
Clinton: -- them to be assaulted.
Trump: I did not say that.
Clinton: In fact, he went on to say --
Wallace: Her two minutes. Sire, her two minutes.
Trump: I did not say that.
Wallace: Her two minutes.
Clinton: He went on to say “look at her, I don’t think so.” About another woman, he said “that wouldn't be my first choice.” He attacked the woman reporter writing the story, called her disgusting, as he has called a number of women during this campaign. Donald thinks belittling women makes him bigger. He goes after their dignity, their self-worth, and I don't think there is a woman anywhere that doesn't know what that feels like.
We have footage of Trump saying these things:
The second one, I'll grant, could be interpreted a bit more generously to mean simply looking at her allegations and dismissing them as implausible, although I'm not inclined to give Trump the benefit of the doubt, given his history. But the first video leaves no doubt as to what he meant.
Clinton: Well, every time Donald is pushed on something, which is obviously uncomfortable like what these women are saying, he immediately goes to denying responsibility and it's not just about women. He never apologizes or says he's sorry for anything, so we know what he has said and what he's done to women. But he also went after a disabled reporter, mocked and mimicked him on national television.
Trump: Wrong.
Again, we have footage:
Clinton: Well, you know, once again Donald is implying that he didn't support the invasion of Iraq. I said it was a mistake. I said that years ago. He has consistently denied what is --
Trump: Wrong.
Clinton: -- is a very clear fact that before the invasion
Trump: Wrong.
Clinton: -- he supported it. I just want everybody to go google it. “Google Donald Trump Iraq” and you'll see the dozens of sources which verify that he was for the invasion of Iraq.
Trump: Wrong.
The old "I never supported the Iraq War!" line. It's strange how obstinate Trump is being on this. It should only ever have been a very minor point, as he could have easily defended himself by pointing out that he was a civilian then, he only knew what the government was saying, and that Hillary, being a senator at the time, was in a far better position to investigate what was going on and see if the war really needed to happen, as well as had a greater responsibility to do so. He seems to truly believe that he was against it the whole time. However,
the record shows that he expressed a number of different views at the time, far from being the ardent skeptic he's now claiming to have been. Which, again, wouldn't have been a problem, but then he had to go and make it a problem by saying all these silly, easily-disproved things.