Even the Sokal scandal is somewhat simplified. It was not so easy for them to get the paper accepted, in fact they were rejected many times by other journals. This is rarely mentioned.
The cited work in TFA compares performance evaluations with raises. It found that for the same performance evaluations, an explicit focus on meritocracy leads to worse monetary outcomes for women. That seems fairly objective and methodically sound to me, and not at all related to Sokal-style bullshit.
The income gap is a complex topic, and it is clearly not as simple as either extremes of the cultural wars paint it. It is not true that the pay gap is 100% due to discrimination against women, but it is also not 100% true that such discrimination plays no role. As usual in real life, there are nuances and complexities that cannot easily be reduced to simple slogans.
Silicon Valley has a religion-ideology that we have no name for yet. It is a very American kind of Protestantism with zero gods. I know the environment and I know what I'm talking about, even though I accept you might disagree. My view is that the self-proclaimed ultra-rationalists are not as rational as they would like to think.
It is true that Sociology has a left-wing bias. In my view, this is true of all academia. There was a time, not so long ago, when academia had a right-wing bias. This too is a subject of sociological research :)