This "rejection of reason" is also why we have anti-vaxxers and a host of other problems.
Rejecting reason is insanity.
The attempt to “rationalize” and discover what this higher intuition is saying might look like rejecting reason, even if temporarily. But I think it underscores what is really meant by “rejecting reason”— that understanding the true meaning of a logical argument requires a vigilant process directed by a higher moral directive, to ensure nothing “evil” is laundered through it.
I'm not even sure what a "higher moral directive" is, or how you'd define "evil" in the context of a logical argument.
But yes, there are definitely unreasonable people on both sides of any debate, especially when that debate is mostly conducted on social media.