High authoritarians shift their attitudes toward group averages even on charged issues like homosexuality.

Evidence

I got around to repeating this study with 243 Manitoba students in the fall of 1993, only this time I used the Attitudes toward Homosexuals Scale shown in Exhibit 1.3. Lows’ mean score rose from 26.8 to 27.8 (p < .40). Highs— just as far from the round-one average as the Lows—dropped from 56.7 to 52.3 (p < .001). This greater sensitivity to norms (in the descriptive sense), even on an issue such as homosexuality, can be traced to Highs’ greater desire to be normal. — Bob Altemeyer, The Authoritarian Specter, 479