Can you give an example of "political bile"? Sowell is an incredibly even-keeled writer, and I'm surprised someone would find the book angry (or political, other than believing in traditional economics).
I dunno—another if-anything-even-more-right-wing economist seems to be the poster's point of comparison, so I too am curious what rubbed them the wrong way about Sowell. I certainly get a right-wing tone from the preface and first few pages of this book—I'm hoping later chapters will moderate the "if you're not maximizing economic utility you're definitely screwing up and must just be too stupid to realize it because there can't possibly be a good reason" subtext, and it just seems so strong at the beginning because he's trying to present the very-basics without nuance at this point, but I can't see that striking a Hazlitt fan as anything but a point in its favor.
It's "political" because when you start to actually understand how various incentives motivate human economic behavior, "if you subsidize more of A you get more of B", it shines an uncomfortable light on the consequences on many policy choices.