I’m hoping the op was purely going for comedic effect, cuz saying all three wanted “freedom and equality” is pretty far off the mark

Amon was hiding behind a message of “freedom and equality” in a blatant power grab, trying to establish himself as the only bender remaining, and thus nigh invincible

Unalaq didn’t want “freedom and equality” - he was like the people who think we should fix global warming by killing all humans. His only redemption is that his extreme perspective was potentially heavily influenced by Vaatu, but that seems a bit of a stretch…

And while you could argue that Zaheer and the red lotus were for “freedom and equality”, it was by equally murdering anyone they didn’t like. Much like Kuvira, it was “I know better than everyone else, and thus must force my opinion on the rest of the world through rank violence.”

And while I agree that Kuvira was an awful dictator and despot, comparing her to Hitler is overdoing it. Could she have gotten there if unchecked and given the correct pressures? Maybe. I highly doubt Hitler would ever have acknowledged his wrongdoing and tried to atone, though.