I think it’s not too far off at least. It was on their way to kill Leto II. and she quite liked what she saw.
Frank Herbert has quite a few sexual surprises hidden in Dune. I doubt they’ll be shown in the movies…

Well, he is Duncan Idaho and an upgraded version. Read the God emperor of Dune for more information

She came buckets. Bad water discipline but they weren’t really about that life anymore.

You’re almost entirely correct. They clone individuals (gholas) and raise them in “tanks” which are basically women in a much worse situation than Handmaid’s Tale. The clone in question was Teg Atreides who was the Bashar (General) for the Bene Gesserit. They normally awakened memories in gholas through stress but he was very young when they needed him to manage their forces. There was a suggestion about using sex instead which produced a long moral discussion about the use of sex vs violence. They went with sex and it worked.

Incest is always incest. Whether or not it’s a problem is always a context thing.