They got their information from active homophobes and gossip.
None.
Yes. The Nazis detested homosexuals and persecuted them, often on the basis of gossip. Many were sent to concentration camps, ill treated and murdered.
Jews, gipsies, homosexuals and people with severe learning difficulties.
Homosexuals, Jews mainly, mentily disabled, POW (Prisoners of War),
The Holocaust (also called the Shoah)
The Nazis were first and foremost a hate party. They simply loathed: * Jews * Gypsies * Communists * Socialists * Liberals * Homosexuals * Democracy * SlavsJews
The Nazis conquered much of Europe, and collected and exterminated millions of Jews, Gypsies, homosexuals, etc.
because they did not see a role for these people in their society
Homosexuals were not targeted by the Nazis specifically. In fact, several of the Nazi Party leadership were secretly (to outsiders) homosexuals. Sometimes accusations of homosexuality were made against political rivals (inside & outside) the Nazi Party for the purpose of removing them from power. For the most part, if homosexuals ended up in Concentration Camps it was usually due to some other reason: Jewish ancestry, Polish, Russian, Slavic, gypsy, political opponent, etc. It has become a false myth that homosexuals were systematically rounded up in the same way that Jews were.
Homosexuals, gypsies, and anyone the Nazis deemed "feeble-minded"
Many of the groups the Nazis victimized - Jews, Communists, homosexuals - were held in contempt by many German people. Also, many Germans benefitted financially from the Holocaust.
They systematically exterminated 6-7 million Jews, Gypsies, Homosexuals, people with deformities, and people who were "Enemies of the State".