That website is liberal central, so I sorta have doubts this story is trustworthy. One fellow in the comment section talked about how the author used embellished reports from newspaper articles at the time as his source.
The website's top 10 list of stories has at the top a slam on Reagan and Kavanaugh, the rest of the list is just as liberal.
Comments in that article section #5 and #7 do put the account given here as untrustworthy.