It's a bit more complicated than that. Gender is a social construct, mostly determined by genes & genitalia. It's not quite enough to believe you're a woman, other people have to believe it too. Another issue at play is that there are far more "intersex" people (who have some characteristics of the opposite sex, sometimes to the point doctors don't quite know whether to list them as male or female), and from what I've heard trans people often (possibly generally) are "intersex" in a way that wasn't visible at birth. The idea of a female's brain in a male's body isn't that far fetched.

> They believe in censorship.

I believe this one is more popular in the far right (when in power) than in the far left (when in power)

> They believe in supporting and growing the military industrial complex.

Militarism sounds like it's more popular on the right. Though it can be more complicated: military backed imperialism can indeed support stuff like welfare at home.

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Now the elephant in the room: last time I checked, democrats were firmly capitalists: they believe the means of production should be owned privately. Even if you exclude actual communism from acceptable discourse, they're fairly poor at public services and keeping inequality in check.