In the New Yorker article cited below, the Hasidic political operative's style is described as follows:

He greeted many of them with bear hugs, unless they were women, in which case he spoke without touching them. ("They understand," he said. "It's my religion.")

Is that, by itself, sexist conduct? Randy Cohen certainly thinks so. Cohen, whose "Ethics" column in the New York Times Magazine was previously most noted for reserving its strongest criticisms for SUV owners, argues that a female real-estate owner whose agent declined to shake her hand for religious reasons should tear up the contract with that agent due to the sexism of the agent's practice.
Apparently I wasn't the only one who found Mr. Cohen's advice a bit overwrought:

Ironically, Orthodox feminists have found themselves in the unique position of defending a tradition that the Ethicist calls “sexist” and offensive.
...Needless to say, Cohen’s answer elicited waves of e-mails on the Times’ online Forum, and among Jews in private chat lists.
One reader posted: “Touch me or you’re fired — a perfect example of sexual harassment.” The TeaneckShulChat list on Yahoo posted Cohen’s response to his critics: “I understand that the prohibition against touching derives from sexual modesty, but so do most of the proscriptions in sexually segregated societies, from the chador to allowing only men to vote.”
Said Adena Berkowitz, a feminist activist and long-time member of the UJA-federation Medical Ethics Committee: “I continue to be amazed how too often tolerance only runs in one direction and in fact soon become intolerance. What would Mr. Cohen like next: to have the Justice Department bust up Orthodox synagogues because men and women sit separately?”
Blu Greenberg, president of the Jewish Orthodox Feminist Alliance, added, “tolerance to the right always seems to be in shorter supply. Pluralism means you sometimes have to stretch and understand the other person’s convictions.”

The punishment couldn't possibly be more fitting for someone who espouses the hard-edged PC "ethics" pushed by Cohen: a delegation from the Orthodox Union "was to meet this week with Cohen and Times editors “to sensitize the Times on this issue,” according to OU officials." Perhaps they will also give him sensitivity training regarding SUV owners.