Politicophobia
If you met someone who insisted upon never bringing up mathematics — "No math at the dinner table." — you may assume they are just horrible at math! So my theory is this, the fear of politics comes from a desire to reaffirm the status quo despite any insecurity of ones beliefs.
This may be my own bias, but I see this mostly from the right. Right wing sentiment often tries to come across as "no-nonsense" or "common sense." At its best the rhetoric appears to reveal a self evident truth. When Ben Shapiro is asked why Boy/Girl Scouts need to be separated by sex he simply replies "It's in the name." For the culturally conservative this is a world-repairing resolution. The question, albeit with minimal stakes, is answered so effectively. Ignoring that the name holds no justifying power towards the organization itself, "Boy Scouts" is, in fact, the name. This argument is perfect if you already believe the conclusion. The purpose is to reaffirm a social standard. The desire to reaffirm these standards is understandable, though when the overton window shifts a new common sense shifts with it.