Apologies if I misrepresented you there, that wasn't my intention. I made a jump to the assumption that we would use the scientific method to test that the predictions were correct.
It was really the bit about "proving" the scientific method that I was objecting to, but I don't want to get bogged down in semantics.
Hmm..what about if by using astrology to test the predictions that astrology made we found consistency?
I don't understand that statement. What would it mean to find "consistency"? Sure, you could ask the stars whether asking the stars works. I brought up astrology as an example something that doesn't do what it claims. If astrology only claimed to be a method of making up stuff based on the stars, that would be a different -- and uninteresting -- story.
The example he does give is "the idea that science alone can lead us to truth". While we can show that science is the best method, how can it be shown that it's the only method which can lead us to truth? If it can't be, then is he right in suggesting that belief in the idea is a matter of faith?
There are many different ways of coming up with "answers." Science is just one of them. Prayer, meditation, astrology, Magic 8-ball, making up stuff that feels good, are all other methods of coming up with "answers."
But when you add the "lead us to the truth" part, you're implying that not all answers are equal. Specifically, we prefer answers that are true (or at least closer to the truth) than those that are false. So now you've got your criterion for evaluating answers, and thus the criterion for evaluating the different processes that can lead to answers.
How do we "score" the different answers, then? Science has a way. These other methods don't, as far as I know. They basically refuse to submit themselves for evaluation. That is, unless you want to torture the definition of "truth" so that it means "whatever gives you spiritual fulfillment" or something like that. And if that's your game, then yeah, science isn't the only way to "spiritual fulfillment." But I don't think anyone, "new atheist" or otherwise, is claiming that.