Despite of what these authoritarian churches are saying, I don't believe that God is against sex, he would not create male and female if he was. Anyways Jane is most likely a man so I guess it is a little creepy. But let's examine what Americans mean by creepy. Things that are perfectly normal and natural, or whenever someone tries to initiate friendship or tries to be sociable is labeled as creepy, no one wonder America is heading straight down the toilet, but that's another topic all together.
If you were going to initiate friendship, why would it matter whether or not I was hot? And if you think I'm a man, why ask? That much is definitely against God, bad luck.
Back to the topic; In Nazi Germany scientists didn't just follow what Hitler was saying, he made scientists do experiments and measure people's skulls along with other biological experiments. German scientists truly believed that Aryans were a super race and everyone else were subhuman. Scientists were not forced to accept this, they believed this firmly. Scientists are sheep, they believe what Government says and then they perform some tests to justify their B.S. and its done. In America scientists also believed that blacks were inferior, and they tested their theory. My point is, there is no such thing as testing non sense. Most of science is non sense.
Which, even granting that, fails to form a reasonable analogy. Neither of your examples is accurate: both prey on the scientists having pre-existing prejudices.
A prejudice is different to a scientific belief. A scientist who found proof of FET would be
applauded for successfully shattering an age-old mistake. A prejudice is not the same thing, at all. Scientists study what they're told or paid to do, maybe. Even if this would somehow result in a global consensus (which it just
doesn't) it makes no sense for some official to approach a university with "Hi! Would you mind finding proof that the Earth's flat for us? ta, very much."
I think the conspiracy was meant to be a secret...
Long story short: bad analogies aren't really relevant to anything.