If you genuinely think trans people aren't being hurt by anyone who carries the anti-trans belief, then I recommend looking up some of the many news articles that details violence against trans people.

I've provided some for you, I genuinely hope that you take the time to read these.

https://williamsinstitute.law.ucla.edu/press/ncvs-trans-press-release/

https://www.hrc.org/resources/fatal-violence-against-the-transgender-and-gender-expansive-community-in-2022

https://www.aclu.org/legislative-attacks-on-lgbtq-rights-2024

The last one I posted tracks all of the current anti-LGBT legislation that's trying to pass into law. It's not just physical or emotional violence trans and LGBT people face, it's also people trying to enact laws that actively deny their rights as human beings. This isn't exclusive to America either, I got results from all over the world during my search.

You may not be violent in your beliefs, but it doesn't mean others aren't.

That depends on what you mean by not hurting anyone with that belief. You can believe in whatever you want if it honestly doesn't hurt anyone else, but that's not usually how it goes. Just leaving a comment saying you dislike trans people is hurtful. Imagine scrolling through a comment section and seeing random comments where people say they hate that you exist.

How can you reconcile believing they have the right to exist with not liking that they exist? How is that functionally any different?

Isn't it even more "equal" to accept people's right to have opinions you don't like?

See the Paradox of Tolerance.

Genuine naive question, but why is it such an inherent problem being racist if you're not hurting anyone with that belief? Isn't it even more "equal" to accept people's right to have opinions you don't like? I don't think black people shouldn't exist, but that shouldn't mean I have to like it.