This is what I have problem with too. I dislike most forms of dogma, and dogmatic liberalism, freedom of faith, speech and so on can be toxic too. I mean too often it seems like it just makes taboos shift. The smile-or-die mentality, the rainbow crew of Star Trek, the outrage that Witcher rooted in ancient slavic history and myth doesn't contain black characters...
I think one of the healthiest approaches was shown by the Monty Python group. They made fun of religious people as well as of atheists.
I would like to live in a society where it's okay to make a joke about race, religion, sexual preferences and gender once in a while. Many things are fine in moderation. It's bad when someone keeps hammering one group over and over. People always told jokes about forbidden subjects. When you can't tell jokes about X at all, I think it signals a problem related to X.
I have yet to explore lectures of Jordan Petersen, but I found one of his remarks interesting. One of his studies shows many similarities between right wingers and social justice warriors.
One way to define conservatives is people who want to force most of their rules on others. One definition of liberals is people who want to enable all people to live however they want as long as it doesn't harm others. Going by these definitions, social justice warriors can be considered conservative. They've just moved to another camp.
I'm trying to say perhaps liberalism/conservatism is not the value of the variable, but the algorithm. What you do with your values. You can try to force your rules on others, or try to inspire and lead by example, or... just don't care. Or something in between.
I'm being vague and general with most of my points because comprehensive error handling can obscure the message.