Uhh.. The point of the article is that her op-ed is disingenuous and doesn't correspond to what she has said over the years. Quoting from that op-ed to argue that the article writer isn't giving her true position... well, that's not really grasping the chain of argument here.
The reality is that she's been virulently anti-vaccine over a long period, has played a real part in convincing others to forego vaccination, and is now trying to sell us on something like "she didn't really mean it that way", and pretending she's always held some more moderate position. I mean, go read stuff she wrote years ago.
I did. Did you? Here's a quote from her in January 2011:
Why aren't there any tests out there on the safety of how vaccines are administered in the real world, six at a time? Why have only 2 of the 36 shots our kids receive been looked at for their relationship to autism? Why hasn't anyone ever studied completely non-vaccinated children to understand their autism rate?
These missing safety studies are causing many parents to approach vaccines with moderation. Why do other first world countries give children so many fewer vaccines than we do? What if a parent used the vaccine schedule of Denmark, Norway, Japan or Finland -- countries that give one-third the shots we do (12 shots vs. 36 in the U.S.)? Vaccines save lives, but might be harming some children -- is moderation such a terrible idea?
That seems to coincide with what she's saying now - that she's in favor of slower and reduced vaccination schedules.
Similarly, here's the transcript of her Larry King appearance, where she says (emphasis added):
CARREY: We are not saying don't vaccinate. That's the thing we want to get really clear right now with ...
KING: Let's make it clear.
MCCARTHY: Yeah, we're not.
CARREY: This is the thing. There's a lot of misdirection going on. We hear the Campbell Browns and people like this that are saying, you can't not vaccinate. No one has ever suggested not vaccinating.
MCCARTHY: Go back to 1989 schedule when shots were only 10 and the MMR was on that list. I don't know what happened in 1990, there was no plague that was killing children that we had to triple the amount of vaccines.
Again, that's not anti-vaccination generally, that's opposed to the current schedule. Farther down in the transcript:
HANDLEY: Larry, it's on the old schedule. We welcome the people doing the measles and mumps shot.
KING: You want the measles and mumps shots ...
HANDLEY: Absolutely.
CARREY: Vaccinate for the measles, vaccinate ...
KING: So people are overreacting in canceling that vaccine.
CARREY: Absolutely, and vaccinate for polio. That is on the '89 schedule. But what happened after that?
MCCARTHY: But things like the rotavirus which is a diarrhea vaccine, we say really?
CARREY: If you have access to clean water and health care, it's very difficult to die of diarrhea.
Again, that was 2011. If she's in favor of measles, mumps, and polio vaccinations, it's tough to claim she's anti-vaccination, and you can't really claim she's changed her story by saying she's not anti-vaccination now.
Now, let me be clear - I disagree with her about the science, and don't believe that the vaccinations contain toxins that must be "cleaned out" between rounds, nor do I think there's any link between autism and vaccination. I also think that many of the new vaccinations are great and should be given to kids, such as the HPV vaccination. But this isn't a dichotomy - she's clearly not "anti-vaccination" in any general sense, and she doesn't appear to have changed her argument at all from "let's space out vaccinations and return to the fewer number that were given in the 80s". I can disagree with her without having to call her a liar.