The present-day Unitarian Universalist Church is well known for wearing its politics on its sleeve; it's left-wing, loud and proud. Combined with the political content of the scene, and recent Trek's unsubtle attempt to make thematic commentary on present-day American politics (see Paths of Disharmony), I find Mr. Mack's characterization attempt unsubtle, overreaching and out of place in Trek.
What the Fuck? Mack used one word and that is an unsubtle, overreaching and out of place characterization? You really have to chill, dude.
I read your "criticism" before I read the scene in question and based on your comments I had to assume some kind of several page long Unitarian church commercial was coming (just based on your comments, I know Mack wouldn't do something like that). All kind of religions have been name-checked (and more) over the course of the Star Trek franchise's history and you throw a tantrum because a building was identified as a Unitarian church?