No, he's right. You are not in a position to lecture anyone about critical thinking.
No, he's not. I have provided specific examples of the logical fallacies and non sequiturs when they were used. People who refuse to acknowledge that they rationalize their beliefs with fallacy and non sequitur and repeat those fallacies after they have been pointed out are either dishonest or are not able to think critically.
I'm being generous and giving them the benefit of the doubt at this point.