Legal consequences imply non-free speech; employment consequences are more complicated.
edit: Responding to dead response; not gonna vouch for you again with that attitude...
Every freedom has consequences. You've got the right to bear arms, but you can shoot yourself in the foot. You've got the freedom to move about the country, but you can miss your sister's wedding if you're in another state. You've got the freedom to vote, but your elected politician won't always vote in the way you'd like. You've got the right to drink and smoke, but you might get cancer or other diseases. You've got the right to piss off your friends by spouting off hot takes, and you might lose those friends if they don't like what you have to say.
The issue isn't exactly about free speech but discrimination. And this happens in a million other ways too: being overweight, having a certain accent, being shorter than average. The fact that people have to resort to a "free speech" defence is indicative of the problem. And, of course, there will be "consequences"...no-one doubts that are consequences for not being like other people.
Freedom of association permits us to choose who we do and do not associate with based on that individual's own choices.
There are laws in place to prevent employers from coercing employees into political action - i.e. you won't get your annual bonus unless you donate to this political candidate - but these are protections from extortion, and not exceptions to the general rule that political party is not a protected class.
When it comes to discrimination of employees by employers, then the protected classes, personal choice, and freedom of association are highly relevant irrespective of country.
And if someone is discriminating against another person in hiring (btw, inevitable...height/weight/accent, it is basically impossible to remove this, people are fairly safe on religion because no-one can tell what religion another person is without asking) then that is enough. There is no need to examine the person's statements and try to work out how they would behave in a hypothetical example (doing this is discriminating...you aren't judging a person on their actions but how you believe they would act in a hypothetical you invent...would you like to be judged this way?).
No, please read my comment more carefully, because I said none of that.
I don't believe that she did or didn't say anything. I said "alleged" and meant it -- I've read exactly one article about this person and never heard of her before.
I said that having a post like that under one's name could be used as evidence against their employer in the case of a Title VII claim. Not that it would definitely indicate that the poster is racist; not that the poster is "dangerous" -- I'm said that the poster could reasonably be viewed as a legal liability to their employer.
> you aren't judging a person on their actions but how you believe they would act in a hypothetical you invent...would you like to be judged this way?
Another example of non-free speech: if you admit to having done a crime, that will be used against you in court (note, the admission itself is not a crime -- but it is evidence). If you express intent to do a crime, and somebody alleges that the same crime happened, and you're placed at the scene of the alleged crime, then your expression of intent will be used against you in court. Whether or not I want that to happen to me is irrelevant. That's how the legal system works.
The important distinction is that you can be punished under the law for the intent + consequences of speech. For the fire example, if no one reacted at all to me yelling "Fire!", the state could not go after me. Now, if I caused a stampede or other behavior from those in the theater, I could be sued for various things (manslaughter if someone died, criminal mischief, or disturbing the peace).
It's also the same reason the government can go after mob bosses for hiring a hitman to kill someone. They just said something (like, "take that guy out"), which is just speech. But if the actions that resulted in the speech can be directly connected, you can get in trouble for it.
EDIT: To make clear here, intent and consequences matter here. It's why you rarely see cases against speech brought, as intent must also be clear and provable in court.
Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the government for a redress of grievances.
There can be, and are, private consequences to speech. I may not invite you back for dinner for example, other consequences may be more impactful.