Agreed- I was really interested in the facts cited at the start, less so in the citation-less analysis later. So I looked into the report cited many, many times- it's from the Center for the Study of Partisanship and Ideology. Looking into them, influence watch says "The organization primarily reports on bias against conservatives. CSPI provides research grants of $2,000-$15,000 to applicants to study incidents or trends of bias against conservatives."
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.