Have you ever considered it's you who are wrong, and not all these men you keep throwing names and adjectives at when they don't agree with you?
Yes, saying "toxic masculinity" is sexist as fuck, and we should use a different term. Your projection of hurt feelings onto your audience is what makes your advice shit, tho. It's wrong to use because it's intentionally insulting and sexist, not because it makes men feel bad.
"Patriarchy" we should absolutely keep talking about, because it's a very popular brainwashing tool to convince people that all problems in the world are the fault of the class of men, and specifically not the fault of anyone not in the class of men, don't you even dare think women might be at fault for something! -- but seriously, it's a psyop so that feminists have an excuse for their bigotry, and we should keep mocking the term to point that out.
"Feminism" we should absolutely keep using, because "Say Gender equality or egalitarian" is for people who actual give a shit about equality, and that's not feminists. This one your post mostly agrees with, but i don't think you take it quite far enough. Letting most feminists "rebrand" into egalitarianism will just make egalitarianism the same sexist dumpster fire. It's like suggesting most KKK members move to an "equality for all races" movement and pretending that stops the problem. It's not that feminists needed to change their terminology, it's that they needed to realize they were, are, and are actively saying they will continue to be misandric sexist pieces of shit in just about everything they say and do.
As for why you get pushback saying these things, it's very clearly because you presume to tell men what they are and should be feeling, which is the same bullshit gynocentric attitude that led men to be subject to this nonsense in the first place.