No. It's a weak analogy at best, since while the Nazis are certainly directly responsible for blitzkrieging Europe and killing millions in concentration camps, those responsible for changing lyrics in modern-day Christmas carols are not directly responsible for 49,000,000 abortions.
I disagree. They are the same people for the most part. They are the same type of people who would have been going to the Thingplatz or Thingstätte in Nazi Germany to practice the state religion and replace the “outmoded” Christianity that most common people there beleieved in.