Yes you do, that's why you're posting here. As you note, it is completely of a piece with social media bans. It is obviously newsworthy because it now extends that sort of "ideological ban" to a physical space.
Presumably the rights God inconveniently forgot to give us were enhanced by our rights as private citizens and taxpayers?
MSG is not a members only club, there are laws about venues which are generally open to the public, and we also have civil court for contracts like buying tickets to concerts.
We will see what a jury of our peers will say. But I don't think progressive snark or bad jokes about lawyers will be in the court arguments.
What does any of this have to do with ideology (conservatives vs. progressives)?
She purchased a ticket to an event and was denied entrance. That is contract and the courts may agree with her.