If one thing is clear, liberals do not like other opinions, at all.
You are confusing something.
Opposing people who lie terribly and post hate speech is one thing. People who disagree without those things are something else.
So liberals do not oppose other opinions. They oppose people lying and they oppose hate speech.
But you are equating lying and hate speech with all disagreement with liberals. It might seem that way, but they're not the same thing.
And you are not persecuted from expressing legitimate opininions by not being allowed to post egregious lies and hate speech.
Remember that's the crowd responsible for things like years of lying that Obama wasn't born in the US. How is demanding evidence for that position, and when there is none pointing out that it's
irresponsible lying and limiting its promotion, opposing legitimate opinions?
It's a tricky issue because people who abused the power could censor the truth claiming it's false, but on the other hand the so-called alt right crowd is capable of both destroying the environment for speech smothering it in lies, and in forming dangerous movements promoting harm to innocent people. So, sorry, but this balance is the right one.
And it has nothing to do with not liking legitimate different opinions.
Voted for Trump? Racist, sexist misogynist. Possibly all three.
Female and voted for Trump? Definitely Stockholm syndrome.
Don't like Hilary Clinton? It's because you don't want a female president.
I'll agree with you that not every trump voter fit those categories.
But on the other hand, supporting trump did largely support those policies. So even if you voted for trump for other reasons, you helped those issues also. Just as if you voted for Hillary for something like her better position on climate change, you got her foreign policy as part of the package.
And I'll agree many Hillary supporters wrongly attacked all trump voters as having those motives.
On the other hand I think a lot of bigots don't realize they're bigots.
Trump did promote racism, and sexism, in various ways. And it's right to criticize that and note that supporting him for whatever reason, includes supporting him on those things.