"For this to actually be "nazi-like" government would have to be behind it..."
The Nazis were a movement and a held to a philosophy before they became a government. "In the beginning was the word..." and that philosophy was a threat. This is indeed Nazi-like. Here too traditions and religious scrupples are set aside.
Of course the net effect of the Nazi movement was that the Germans lost a generation of men, 200,000 German women were impregnated and produced offspring through rape by Soviet forces, and the German race was weakened instead of strengthened.
The "I want a baby without a husband but want a high IQ doner with an athletic physique" is quite different from "I want to find a handsome intelligent man and marry him". One option produces a child without a father in the home.
If the woman gets the perfect sperm, the results may not be so remarkable because she is also contributing genetics and she was apparently not competitive in the free market economy of dating (or why the need for doners?). Probably she is quite unattractive. Perhaps the child will take after Mom. Maybe Mom should have viewed the child's beginnings through the same human value system as Dr. Mengele.