You asked me for my opinion. I gave it. You Americans need to sort it out on your end.
Not teaching politicized stuff is dangerous as that means a sufficiently large minority screaming loud enough have a mechanism to censor any school content by making it political even if it shouldn't be.
It did offer a solution in my reply. Explain multiple sides, explain other world religions, if students have a good understanding of all compatible with society ideologies they can pick when they are old enough.
Your opinion can be unuseful for the simple reason it's off topic.
If you aren't American, you simply cannot understand our political issues and to dismiss them as if they aren't important (because they aren't important to you) is disrespectful.
>I do not care much about this destinction.
This is the crux of the problem here, American's very much do care about this distinction. So to dismiss it is to not solve the problem.