The SJW crowd isn't as loud or powerful at BYU as at other schools but it is nascent and ascending.
Freshman year I had a retiring professor who taught the classics, gave perspective, and taught the humanities in the older way.
My next humanities class four years later was taught by a new professor who talked about how we should read the sunstone, ranted about Trump, and focus on feminism.
The people I know who went through BYU NON-STEM started out as fairly moderate and by the end had embraced the social justice doctrine. Even teaching degrees have you take multicultural education which teaches that humanity is split into grievance categories and if you aren't a straight white male you are oppressed. The minority kids I know who took this path now are fully committed to the belief that any bad break in their life is because of racism and systematic oppression.