Intersectionality theory is a positive tool for change.
I'm not familiar enough with it to say yes or no. No comment.
All cultures merit equal respect.
Absolutely not. I don't see how agreeing with that statement is "progressive" either, because I too often find cultural relativism quite harmful and too tolerant of irrational and dangerous traditions and norms.
There is a patriarchy that oppresses women.
Yes, albeit to varying degrees. Currently, patriarchy in, say, Saudi Arabia or Iran is more deeply entrenched and more powerful than its counterparts in the U.S. and some parts of Europe.
Society should strive to achieve equality of outcome.
If you mean economic equality, then no. I only think society should strive to achieve equal opportunity for success, but someone who has earned multiple PhDs and works 70 hours every week absolutely deserves more wealth than someone who has voluntarily never bothered to pursue a degree and doesn't value work.
Society should restrict hate speech.
Only if it incites violence or harm against anyone. Otherwise "hate speech" is a line so blurry that restricting it treads ground that has proved too shaky and exploitable by corrupt authorities.
Speech codes are a positive influence at universities.
Yes, but contextually. I don't believe in a one-size-fits-all "speech code" for all universities.
Lived experience deserves as much merit as expertise.
Depends, but generally in the case of systematic fields of study and empirically testable statements, no. Anecdotal evidence is no substitute for the scientific method or academic knowledge.
That said, something like social skill is very different from physics or chemistry when we're talking about the above statement, hence my "depends" answer.
Universities are improved when trigger warnings and safe spaces are provided.
Only if trigger warnings and safe spaces aren't expanded beyond necessary limits recommended by professionals in relevant fields, such as psychiatry and psychology.
The West's history negates its claims to be a superior culture.
Only arguably so. I believe that Western culture is, overall, superior to Eastern culture, but that's certainly not due to finding no spotty areas in the history of the West. It's primarily because compared to Eastern culture, the flaws of Western culture don't seem to me to outweigh the good parts enough to make it as bad as Eastern culture on the whole.
Society should strive to reduce micro-aggressions.
Yes, but not based on misconceptions of what a "microaggression" is. Like censorship of "hate speech," this treads risky ground that should be handled very responsibly and carefully, lest it become a tool of oppression and suppression of free speech rather than a tool of social justice.
