Christopher Berry,
Hello,
I would say no particular anti-intellectualism in response to my professional activities. There is some hostility around gravitational waves from various flat-earth-related groups, but I have mostly avoided that. Talking about discrimination in science or society (say sexism or racism) typically draws more of a negative response on social. Even just posting for International Women In Science Day with no comment about sexism will draw criticism.
What is perhaps more common, is people with pet theories expecting large amounts of time. Say read long text, select a course of reading material, explain misconceptions, etc. All these are part of an academic's job, but can take many, many hours, which isn't feasible when we have students and our own projects to look after. Some people have nice FAQs on this topic (Katie Mack and Emily Lakdawalla I think may be good examples if I remember correctly). People are generally OK if you explain that you don't have time, but sometimes they just think you're being rude, which does cause aggravation.
Regards,
Christopher