The linked paper gathered opinions from American academics via an email survey where the respondents self-selected and the response rate was 2-4%. So the results seem about as statistically useful as a Twitter poll.
https://www.influencewatch.org/non-profit/center-for-study-o...
On a side note, I'd really prefer not stating something as fact, then linking only to a 200 page report without any hints about where to actually find the info.
Edit: I'm not thrilled with the linked report in general, but:
The author says
> Nearly a quarter of American social science and humanities academics support dismissing colleagues who have unorthodox views in areas such as immigration or gender differences.
From page 24 of the report, I see where the author finds this information, but it's worth noting the support for dismissing academics comes almost entirely from the topic "women and minorities lower organizational performance"- more conventionally conservative topics don't seem to have anything like a similar rate.
I can't find anything obviously like the 4 out of 5 PhD students discriminating against right wing scholars.
https://www.ucu.org.uk/media/8614/Academic-Freedom-in-the-UK...
https://source.wustl.edu/2020/08/free-speech-nearly-half-of-...