Shogan's article was an interesting analysis of why that political philosophy is less popular than it was. However, I would point to two changes during President Johnson's Administration as key to the backlash--changes which Shogan mentioned only obliquely.
First, the Great Society went beyond equal opportunity to "affirmative action," i.e., legal discrimination against white men. While previous discrimination against blacks, women, and other minorities was rejected by many white men, affirmative action punished them for other crimes in the past. This was not perceived as entirely fair.