Fascinating. Here, you'll see a classic example of a TERF using Nazi rhetoric to argue that her movement is unrelated to the Nazis. Let's deconstruct it together!
* Reducing white supremacy, specifically in early 20th century Germany, to antisemitism: This is a common trope in the Nazi movement, and one which has continued into the present day.
By stereotyping Jews as controlling money, education, and the media - and today, government as well - and as being effete, perverted, and genetically inferior - they could blame us for, and associate us with, everyone they wanted to eradicate.
We became a larger-than-life shorthand for people with disabilities, for queerness, for every infringement upon gender norms, for communism... for every imagined crime against Christianity and whiteness and normalcy.
Never forget that Hitler took his guidance from American eugenicist literature, and American genocide of Native Americans.
* The eugenicist damning of "people who are... mentally ill."
Never forget, either, that Hitler began his genocide with autistic kids, and then other kids with disabilities.
He hated mentally ill people as much as you do. He agreed with your implication that these were the deranged, useless dregs of society. The weird, delusional people who drag others down into their bizarre fantasies.
White supremacy is very clear that these people are the freaks that society should be shutting down and shutting up -- the ones who are spreading their diseased thinking through an overly tolerant liberal media.
* We are the way the Jews spread that corruption. They don't care whether it's through The L Word, or Pose.
To Nazi ideology, this is how we are intrinsically linked with Jews.
And just like brunette half-Jewish Hitler, just like the Log Cabin Republicans even, lots of us are willing to buy into the overall ideas while we firmly draw a mental fence around one or two specific sub-sub-groups.
The attempt to separate trans people, "LGB people who are not mentally ill," and Jews, is a weak attempt to stay out of the gas chamber.
Buying into so much of the overall ideology without realizing it -- you're harming even that weak attempt.
* sex fetishist autogynephile dissociated trans trenders
Your entire framework for thinking about any of this is exactly the same as theirs.
Begin with the premise that not all human lives have equal worth.
That not everyone really thinks and feels things. Not everyone should be in charge of their bodies and decisions, because they're not smart enough, not capable of the same kind of thought, or not morally sound. (Or that human worth can be measured in some other way, like the production of wealth or children or culture.)
Mentally label the entire population of that group as less-than. Less human, less worthy of their lives, less worthy of basic respect, of the assumption that their actions reflect genuine thinking and feeling, than you.
Having established that premise, use the criteria you've chosen in step one to explain why that group is human waste. And/or why that group is a danger to others/society.
The steps after that are left as an exercise in imagination for the reader.