The SS were not in the Wehrmacht. The SS were a seperate organisation attached to the Polizei & answered to SS High Command or Oberstab. The Wehrmacht were the Heeren (Army), Luftwaffe (Air Force) and Kriegsmarine (Navy).
There were two SS organisations, the Allgemeine SS, a non-military armed civil organisation which guarded camps, organised the home front and answered directly to Himmler & Hitler. The second is the feared Waffen-SS, originally SS-VT, the Armed SS. They WERE a combat organisation. When the war started they were never more than Regimental in size, growing to Divisional level, corps, then in 1944, the 6th SS Army under Sepp Dietrich, founding leader of the SS Leibstandarde Adolf Hitler (Hitler's Black Shirted personal bodyguard).
The Wehrmacht units, on the whole, didn't like the Waffen-SS. They claimed they got all the glory while the ordinary Heeren units did the donkey work. They also didn't want a non-Wehrmacht unit in their rank & file as the Waffen-SS answered to their immediate superior, this was usually a Heeren General This officer had to go throw Hitler first before giving orders to the Waffen-SS.
I realise this may be a sensitive subject, if not for you (you're too young) but MAYBE for your grandparents, but I still feel that getting facts correct is important when discussing a topic such as this. The Wehrmacht & Waffens-SS und Polizei were seperate entities.
I mentioned Britain & Ireland simply because I have, to the best of my discretion, remained objective about Britain & not let their conduct here in Ireland interfere witgh my evalution of this topic. When there was a topic about Britain's conduct in Ireland, everything I said was instantly dismissed. I wonder if the same would happen with this sensitive subject.
I feel your comment 'morally they should have all perished' was deliberately ignored by myself as I hoped it was a spare of the moment comment you didn't think through. Surely advocating the death of every German who picked up a gun between 1939-1945 is advocation of Genocide itself. There was more to that massive, destructive, complicated mess that was WWII than just Good Vs Evil, Right Vs Wrong. Living in Israel at this time should show you this. It's important, always to try to fully understand a topic before your emotions of it control your knowledge on it.
I wish you a good day.