academic life - Dealing with stereotypes and stigma while pursuing a career in academia

How do professors successfully cope with negative stereotypes and stigma while pursuing their research careers?

Specifically, some issues that come to mind are:

1. 
   
   

   Women scientists who are perceived as less capable, with their research ideas dismissed as "not so good" while others use the same ideas and get complimented with, "that's an amazing idea!" (true story, from my friend, at a top STEM department)

   
   


2. 
   

   Asian male scientists who are perceived as unattractive and boring and have trouble balancing a life in science with a social life outside of academia.

   
   


3. 
   

   Older scientists who are perceived as slower and having less research potential than their younger peers, and always having to work extra hard to prove themselves, and always having to climb a steeper mountain than others, it seems.

   
   

Do professors have mentors / advisors, like students would have? Do they go for professional therapy? Read books, blogs? What are some coping mechanisms?