The strengths and flaws of the MBTI are what they are, regardless of what involvement Jung did or didn't have with the Nazis — and I really have no idea to what extent any of the allegations in your post are true.
The stuff in your post would certainly "matter" to me — to the extent that it was accurate — if I was deciding whether I thought Jung was a good man or a bad man, but I fail to see what its relevance is to someone who's trying to decide if the MBTI is a personality typology that's worth their attention.
For what it's worth, though, I can't help noting that the Wikipedia article on Jung paints a
very different picture than your post on the issue of Jung's views of, and cooperation with, the Nazis.
Your paragraph
#3 refers to the wrong Goering, and your paragraph
#4 refers to an article that, according to the Wikipedia article, Jung not only didn't endorse but publicly criticized. The Wikipedia article further explains that Jung resigned from the international body that published the article in 1939 "in the face of energetic German attempts to Nazify [it.]"
So I dunno, Mole, maybe your own "intellectual or moral integrity" could use some work.