Dan Klein considers, then rejects, the analogy between male nurses and non-left professors:

In their paper, Gross and Fosse are suggesting that men don’t want to become nurses because people will giggle at that. Perhaps there is something to that. There may be a path-dependence that has gendered nursing and works to keep it largely female. But for the non-left professor–by “non-left” I mean in particular classical liberal, libertarian, or conservative, not centrist or neuter–the analogy does not ring true.

I’ve never dreaded telling an acquaintance I’m a professor. I don’t fret that he’d figure I like FDR or The West Wing or single-payer healthcare. Why should I care if he did? As for people I care about, they get past any professor stereotype.

I hang out with a lot of non-left professors. I’ve never heard any say he dreaded people’s reaction to the professor revelation.

Most elite chess and poker players are men. Are those fields gender typecasted? Would a woman dread reactions to the revelation that she is a chess or poker player? Might not such a woman find a special pride in having cracked a male field?

Indeed, sometimes the non-left professor may feel that way. Also, the non-left professor has the comfort of blaming leftist bias for his not being more eminent.

Since the plural of anecdote is data, I’ll second Klein’s career-long non-observation.  I too have never heard a non-left academic complain that non-academics assume they’re liberal and/or laugh at them.  Non-left academics’ primary complaint is that other academics are too left-wing.  A few complain that other academics assume they’re liberal, but that’s far less common.