Professional soldiers are trained to be A-Political. They are trained to carry out policy and will fight for their country regardless of what political party is in power... to a point. In the case of post Citadel and Overlord Germany they were fighting to keep their enemies from their homeland. By this stage whatever doubts that were had about the NSDAP were over ridden by a bigger problem. Under threat of total destruction of homes, families, looting and rape you do not care what party is in power if you perceive the oncoming threat to be a greater evil. Also there was absolutely no way that any political change was going to occur anyway. What would be the result of a successful coup? Hitler replaced. The Nazi party would still be in power. As General George Patton found when Military Governor of Bavaria - you can't run this goddamn country without the Nazi's. Everyone of influence was a member of the party. By 1945 nearly 75% of the population involved in infrastructure and administration of the country were members of the party. It was expedient and sane for a civilian to pay lip service to the party to ensure survival. That did not mean that 75% of the population were book burning anti-semites. Do not confuse a civilian political movement and tar the profession of arms with politics.