In my experience, anytime someone starts giving attributes to a label and talking about what "they" want and how "they" operate, several things tend to be true:
The speaker has had very little actual physical contact or dialogue with specific people fitting that label. The speaker appears to believe that the label is well and narrowly defined. But on closer examination, the label is vaguely defined, and the specific people it applies to are difficult to identify at all. If specific people are identified, those people often would not apply the label in question to themselves. If those specific people do personally identify with the label, they define the label very differently than the speaker. Any discrepancies in label definitions will be waved away by "No True Scotsman". Yet usually the labelled party is made out to be an overwhelming force on the brink of obliterating the speaker's very way of life. Very little data is presented, and confirmation bias is significant.
In other words, you are participating in identity politics. Identity politics is entirely populated by straw men.
Yes, supremacists are bad. Female supremacists are incredibly rare, and you probably vastly misunderstand anyone that you think is one.