I happen to have Shirer's book here in searchable .pdf form (and yes I have read it all the way through). Let's look at Shirer's assertions one by one.
Page 35 (speaking of Ernst Roehm):
"A tough, ruthless, driving man – albeit, like so many of the early Nazis, a homosexual – he helped to organize the first Nazi strong-arm squads which grew into the S.A., the army of storm troopers which he commanded until his execution by Hitler in 1934."
Page 45 (speaking of Hitler's acceptance of anyone that could serve his purpose):
"Murderers, pimps, homosexual perverts, drug addicts or just plain rowdies were all the same to him if they served his purposes."
Page 106:
"But the brown-shirted S.A. never became much more than a motley mob of brawlers. Many of its top leaders, beginning with its chief, Roehm, were notorious homosexual perverts. Lieutenant Edmund Heines, who led the Munich S.A., was not only a homosexual but a convicted murderer. These two and dozens of others quarreled and feuded as only men of unnatural sexual inclinations, with their peculiar jealousies, can. To have at hand a more dependable band Hitler created the S.S. – Schutzstaffel – put their members in black uniforms similar to those worn by the Italian Fascist! and made them swear a special oath of loyalty to him personally."
Page 107 (sounds a lot like Obama and the Democrats lol):
"No other party in Germany came near to attracting so many shady characters. As we have seen, a conglomeration of pimps, murderers, homosexuals, alcoholics and blackmailers flocked to the party as if to a natural haven. Hitler did not care, as long as they were useful to him."
Page 190:
"The whole tradition of the military caste [in the pre-Nazi regular German Army] would be destroyed if the roughneck Roehm and his brawling Brownshirts should get control of the Army. Moreover, the generals were shocked by the tales, now beginning to receive wide circulation, of the corruption and debauchery of the homosexual clique around the S.A. chief. As General von Brauchitsch would later testify, 'rearmament was too serious and difficult a business to permit the participation of peculators, drunkards and homosexuals.'”
Page 196:
"Edmund Heines, the S.A. Obergruppenfuehrer of Silesia, a convicted murderer, a notorious homosexual with a girlish face on the brawny body of a piano mover, was in bed with a young man."
Page 280:
"On January 25, the day on which Goering was showing Hitler the police record of Blomberg’s bride, he also spread before the Fuehrer an even more damaging document. This had been conveniently provided by Himmler and his principal aide, Heydrich, chief of the S.D., the S.S. Security Service, and it purported to show that General von Fritsch had been guilty of homosexual offenses under Section 175 of the German criminal code and that he had been paying blackmail to an ex-convict since 1935 to hush the matter up."
Page 281:
"His name was Hans Schmidt and he had a long prison record dating back to his first sentence to a boy’s reformatory. His chief weakness, it developed, had been spying on homosexuals and then blackmailing them. He now professed to recognize General von Fritsch as the Army officer whom he had caught in a homosexual offense in a dark alley near the Potsdam railroad station in Berlin with an underworld character by the name of 'Bavarian Joe.'” [on two later pages subsequently forced to resign].
^ That's all assertions of homosexuality in Shirer's famous book.
William Shirer says in his definitive "Rise and Fall of the Third Reich," not only that Roehm was "
important in the rise of Hitler," but also "like so many of the early Nazis, (he was) a homosexual."