Well first of all, you are right - the 'final solution' was one of many solutions for the 'Judenfrage' and it wasn't like the NSDAP put the most extreme solutio

Well first of all, you are right - the 'final solution' was one of many solutions for the 'Judenfrage' and it wasn't like the NSDAP put the most extreme solution on the ballot box. Secondly, the 'twisted advisors' shouldn't be seen as a few extremists, but rather the then-current alumni of a school-of-thought that was in the making for at least hundred years before WW2: Reactionary nationalism driven anti-semitism (as opposed to the anti-semitism that roamed europe before the 18th century). Within these 100 years multiple people discussed 'solutions' and often the legitimate ultima-ratio seemed to be capital punishment, if the Jews weren't leaving by other means (As today some politicians would legitimize shooting illegal aliens at border-crossings). All the anti-semites need to do to gain influence was to add fuel to the flames of the 'treason'-narrative.