I will note that even the Unitarians have their limits. My atheist cousin once attended a Unitarian "service." When she revealed that, "Well, I can't really say that I believe in God, per se, but I hope you'll allow me to attend your secular humanist meetings to discuss climate change and systemic racism, she was met with embarrassed looks, and she never went back, so they do have a line.
Link: https://babylonbee.com/news/unitarian-church-ordains-first-openly-heterosexual-minister