"Liberty is about having the right to be "openly racist, sexist, misogynist, transphobic, and homophobic", without fear of physical aggression."
No it's not.
"That's not to say there aren't consequences for one's actions..."
What you are saying is that consequences are equated to a denial of liberty.
"...but a free society isn't one that mandates everyone conform to specific belief system..."
Liberty and freedom aren't a belief system and they do not include the concept of freedom to deny liberty to others due to your belief system.