Good points.

I would also contend that what we label someone in one line of work may not be the same in another.

For example, a man plays football for GreenBay and he is a Packer, if he then plays for SF he becomes 49er but he is still a football player.

These spies simply work for who will pay them. Just because they were Nazis and fought against Jews because that is what the job was, doesnt mean that at a later time that would not take orders from Jews/Mossad who had ALREADY infiltrated the CIA

There were plenty of Jewish Nazis during the war as well. The lines are much more blurred than history books portray which is that "OH you are a NAZI so your life's mission is to kill Jews". .