I presume the OP’s issues are primarily with Rabbi Shapiro’s quotes from Rabbi H. Schachter of YU and, perhaps also, lbc”c of Rabbi AY Kook.
In his sefer, Rabbi Shapiro accords due respect, including rabbinic honorific (e.g. Rabbi or Rav) to each. Moreover, he limits his criticism to their views/stated points, for which there seems to be tremendous toeles in covering, not ad hominem attacks.
It’s also worth noting (both in general and regarding the L”H question) that Rabbi Shapiro did not make up these criticisms. The Satmar Rav wrote extremely strongly against Rabbi Kook, both his material and on Rabbi Kook himself.
Rabbi Shapiro also quotes Rav Schwab Zatza”l’s beautiful follow-up piece, “He who Loves does not Hate” in his “Selected Speeches”, to Rabbi Schachter’s article in “Journal of Halacha” about the alleged mitzva to slaughter Jews for the idol of Nationalism. Rabbi Shapiro also notes that lbc”c Rav Schwab wrote that he did not intend to attack lbc”c Rabbi Schachter publicly; however, his article was about “those like him”.
Bottom line: Rabbi Shapiro preserved their respective honor but covered the material as needed.