Every racial grouping, including blacks, perceives whites to be more intelligent than they perceive blacks to be. This holds for both men and women, liberals and conservatives, the young and the old. The differences are a matter of degree, not direction.
The following graph shows how much of an intelligence advantage whites are perceived to have over blacks by the race (and other selected characteristics) of those assessing the intelligence of each. A standard deviation is just over one point on the scale, so you'll notice that the perceived racial gap isn't as large as the fundamental law of sociology reveals it to be, but a perceived gap does indeed exist (n = 11,419) [edit: Altered the color scheme slightly to be a little more intuitive with the age and educational groupings--none of the figures have been edited]:
So much of the Cathedral is founded on racial egalitarianist grounds that undermining those grounds will likely cause the whole edifice to come crashing down. It's why anyone who is perceived to be questioning the building's structural integrity is mercilessly set upon by the Cathedral's inquisitors. Yet it has been constructed on a foundation of loose gravel and sand.
In case you thought otherwise, even if those of European descent won't "go there" when it comes to understanding and eventually acting upon genetic differences across the entire spectrum of human traits, including intelligence, Asians will. If they're precluded from doing so in Western countries, they'll still do so in Asia.
MG recently put together a characteristically excellent post showing that, among other things, what progressives do--irrespective of their virtue-signalling public proclamations--reveals that they are racial realists rather than racial egalitarians. That racial realism manifests itself here, too.
Parenthetically, astute observers will notice that the perceived gap is larger among all whites than it is among either liberal or conservative whites. Self-described moderates tend to be less intelligent and less educated than both liberals and conservatives. That those without college degrees perceive the white-black gap to be twice as large as those with degrees--"clever sillies" if you prefer--do helps make sense of this in the current context.
The GSS has also previously inquired about the perceived intelligence of Hispanics, Asians, and Jews, but only for a single year (2000) in which the racial characteristics of respondents were concurrently tracked. I've posted about that before here, though sample sizes are small. The figures for perceived white and black intelligence in that post only extend through 2008, so this post now updates that one with four more years of additional survey data to draw upon.
GSS variables: INTLWHTS, INTLBLKS, YEAR(2000-2014), RELIG(3), RACECEN1(1,2,4-10,15-16), SEX, AGE(18-34,35-54,55-89), EDUC(1-15,16-20), POLVIEWS(1-2,5-6)