Not only is the culture of anti-intellectualism to blame, but so is the prevailing culture of intellectualism. It is hardly feasible for the majority of the workforce to get a PhD or even a Masters, which is still the cultural baseline for work in many intellectual fields. With the rising costs of education, even a BS is out of the question for many people, and it is not even an appropriate choice for many who would otherwise be inclined to intellectual work. Until we have widespread acceptance and a proven track record for more non-traditional forms of education, the rest of the cultural change you describe will be stagnant at best.