You are both entirely wrong.
The question(s) must be broken down into what it is that parents should and should not have influence over. If a set of parents want to stop a school from teaching that slavery is bad, those parents are in the wrong. If a set of parents want to stop a high school from letting a senior volunteer to pose topless for the senior art class, that's different. You can argue about that validly: should teenaged boys in art class look at willing tits. (Answer: yes, but give them bathroom breaks).
More seriously... it would be dishonest to consider this "debate" about education on its own stated terms. Its terms are not what is driving it. What is driving it are things like:
(1) aversion to the existence of gay people,
(2) disbelief that gender dysphoria exists,
(3) prejudice against those suffering from gender dysphoria,
(4) aversion to the idea that on average white people have an advantage (most often expressed by the poorest white people who are already ****ed, like all poor Americans are ****ed),
(5) anything that could possibly be read as a suggestion that the existence of systems that were built over centuries of racism could favor the racist group persist after everyone says out loud that racism is bad (nevermind actions).
That's where the 'fights' are happening. Anything that says a maligned vulnerable group is just like the rest of us; should be respected.
That gets the shit.
But it gets cloaked, see. That's what America learned. It didn't learn that racism is bad. It just learned you shouldn't say the n-word. It just learned you need to use
other words and
other phrases.
It learned that it could fool itself into thinking it isn't embracing 'isms' by not using slurs.
It's a sliding scale. The measures change with time. The measurers change with time. We arc towards more equal treatment. But there are 2.9999 steps back for every 3 forward. This isn't a fight about parents' right to control education.
It's a fight about social norms enforced by government.
But hey. Maybe I'm just leftist [censored]