you are wrong. he is.
If someone says that "We in group X have it as bad as the Jews did in Nazi Germany", that doesn't really sound antisemitic to me. It is probably representative of a vast misunderstanding of history, but nothing about the statement says that she hates Jews.
Likewise, if you say that you think it is silly to be forced to label yourself with your pronouns, that isn't really transphobic in my mind. You can be perfectly okay with trans people, but not like the idea of being socially forcing 99.4% of the population to label themselves for the benefit of 0.6% of the population. Anyways, I didn't even realize pronoun labeling was about trans, I assumed it was more for non-binary people. "I may look like a male and present as a male, but don't you dare use 'he/him' on me, I am a 'they/them', because I am one of the few to contain multitudes"
I'll note that what Carano did was actually weaker - she just said that tribal hatred motivated the persecution of Jews and that tribal hatred was also leading to the persecution of Republicans. Her critics were more than happy to prove her correct.
She never claimed that Republicans were being treated as poorly as Jews in Nazi Germany, just that the ugly impulses that lead to one sort of persecution were also motivating another. The most-repugnant part of her cancellation is the implicit double-standard wherein progressives are claiming cultural ownership of Nazi/Holocaust metaphors - when they use them to describe Republicans it's fine, but when Republicans try to create analogies it's presumptively anti-Semitic since it denigrates the horrors of the Holocaust.