I'm sorry to say this, but you are absolutely incorrect.
The NY Times is not under any obligation to review any book.
Further, you sound like Bill O'Reilly complaining that while his book is #1 on the NY Times list while simultaneously the NYT won't review his book. Sorry Bill, but that's life - now let's move on.
Bill O’Reilly is a pundit on FOX news. Douglas Feith was the Deputy Secretary of Defense under Donald Rumsfeld during the rollup to the Iraq War. Your comparison is ridiculous.
Naturally the Times and the Post are under no formal obligation to report balanced news. But as flagship national news organizations, they have a responsibility to report the news with some measure of fairness. Even so, they are of course free to do otherwise — and we are free to call them on it. We can fight back, as Douglas Feith is doing, as the guys at Powerline are doing, as everyone in the conservative new media is doing in one way or another these days. The Old Media monopoly is crumbling precisely because conservatives aren’t willing to just roll over anymore. But for some reason you’d prefer that we stay quiet when they screw us.