Miller also called former White House chief strategist Steve Bannon's rhetoric against President Donald Trump "tragic", repeatedly called Trump a "genius", and ripped into CNN for its "hysterical coverage" of Trump.
"I've wasted enough of my viewers' time", the CNN host said.
Bannon's comments were previewed in Wolff's just-released tome, "Fire and Fury: Inside the Trump White House".
After Tapper asked Miller if Trump's tweet helps or hurts his cause, Miller went off about CNN's validity as a legitimate news network, saying that CNN has created a "toxic environment" and continued to deliver "fake news".
Mr Bannon went on in his statement to say he regretted waiting five days to say something, and called Mr Wolff's reporting "inaccurate".
President Donald Trump, Miller said, is a "a self-made billionaire who revolutionized reality TV and changed the course of politics". See, Stephen Miller only wanted to talk about the history, basically give us an unauthorized biography of Donald Trump, and as Jake Tapper correctly pointed out, it was to appease Donald Trump, who he knew would be watching. "The betrayal of the president in the book is so contrary to reality, to the experiences of those who've worked with him, to my own experiences having spent the last two years working for him".
Miller soon took a swipe at CNN, saying, "your network has been going 24/7 with all this salacious coverage and I know that it brings a lot of you guys a lot of joy in trying to stick the knife in".
"Even if you thought that this was not treasonous, or unpatriotic, or bad s***, and I happen to think it's all of that, you should have called the Federal Bureau of Investigation immediately".
When Tapper attempted to question Miller about his work with Bannon, the interview deteriorated into a rapid-fire series of mutual interruptions and recriminations.
Tapper appeared to be flustered at times, constantly interrupting Miller and becoming visibly angry when Miller refused to play his "gotchya" game. "Thank you, Stephen." After ending the interview abruptly, the CNN anchor cut to commercial.
Except, other than being a far-right conservative, it was unclear what particular abilities accompanied Miller's views. Tapper didn't care much what Miller had to say. He then pressed Miller on how influential Bannon had been in the campaign and the White House.