Conservatives? No, I disagree.
Racists, Nazis, and neo-Confederates? Yes, I agree.
What if they are doing this privately? You can't really criminalize someone from having hatred of someone else. Everyone hates somebody.
See, this is where your phony moderate veil falls apart. You pretend to be a true centrist and then someone says "society should not accept racists and nazis" and you respond with "well, wait a minute--"
You're not a centrist, you're an appeaser. You're fine with the status quo, even if that status quo includes making room for some of the worst ideologies our world has ever known. We should not accept bigotry. Not even privately. "Everyone hates somebody" is not a valid response to "racists and nazis have no place in society." If I were to say "Yankee fans have no place in society" and you said "well, Yankee fans would feel the same way about you, a Red Sox fan, because every sports fan hates some other sports fan" then you'd have a valid argument.
Just because you can't criminalize hatred does not mean that we should accept it as a society. There should be social consequences for bigots. I wouldn't advocate for killing or arresting nazis, but I am 100% okay with shutting them out so that they don't feel welcome, either in the discourse or in society at large. The fact that you're willing to split hairs and be a pedant about that is telling.
Oh please, this bs righteous indignation falls flat considering the Marxists are literally redefining "bigotry" and "racism" daily to fit their political needs. Once you claim zero tolerance for some vague, nebulous idea with perpetually moving goalposts without looking at the idea as a spectrum, that leads to nothing but abuse as autocrats try to shoehorn any thoughts they don't like into that shifting definition to censor opponents. That you abandon any nuance in this ridiculous crusade is also telling.
If Archie Bunker were real are you really suggesting he be fired and boycotted and suffer all manner of societal death simply for being stupid and ignorant? One of my best friends named his son Lee Thomas after Lee and Stonewall. Should he be fired never to hold a job again? I know hundreds of people who own Confederate imagery. Is everyone of them an irredeemable racist who should have their life destroyed in this evil purge?
Bigotry of any kind is a spectrum. This very recent anti intellectual nonsense that there can be no nuance with "racism", that theres no difference if a bigot wants to kill all minorities, or just doesn't like all minorities, or just doesn't like some minorities, or maybe even is just insensitive and doesn't care that much about avoiding edgy comments despite not actually hating minorities, or maybe just makes an offcolor joke with no intent to hurt someone's feelings, or now just rejects the lie that America is fundamentally racist because muh systemic oppression, is idiotic. Racism is not black and white (no pun intended) and these absolutist, moralistic hot takes are absurd. Free speech is fundamental and unthinking mobs of self-righteous jerks trying to censor and suppress using poorly defined buzzwords and marxist rhetoric is sickening.