I don't believe it should make much difference if someone was born gay or not. It's not because gay people were born gay that they should be accepted, but rather that there's nothing wrong with being gay. If someone somehow chose to become gay, they deserve as much acceptance as someone born gay.

The difference is that being attracted to people of your own gender doesn't negatively affect anyone, while nazism as an ideology explicitly wants to hurt certain groups of people.

Should cake shop be allowed to not provide service because you believe in abortion rights? Or that you have been in prison? or that you haven't converted to Christianity?

Pedophiles don't make the choice to be pedophiles - would you allow their pedophilia activism? What's the difference?

Yeah people are conflating two things.

If you're not responsible for your situation, you should not be punished for it. That doesn't mean a court cannot sentence you to medical measures, I'm only talking about punishment. At least that's how it works in my country, and it's a good system IMO. Therefore, a pedophile, at least one who only fantasizes about children, must never be punished because of that, but helped (and maybe helped medically against his or her will, but that's another debate altogether).

On the other hand, if your situation causes no harm and no danger whatsoever, such as being gay, then nothing should be done against it, and the situation should be tolerated entirely, and not even frowned upon.

These two concepts are sometimes close, but they are different nevertheless.