Nowadays the fashion is to avoid offending anybody's sensitivities. Therefore, stating positions that may not be in vogue can be hazardous to your career. Just ask Miss California.
But actually, a certain amount of political correctness is imperative to Judaism.
"Do not despise an Egyptian, for you were a stranger in his land." We are commanded to not oppress the stranger, not mistreat members of other nations. Imagine, even the Egyptians who enslaved us were not to be despised.
Certainly, then, we must show respect to other faiths and ethnicities, never causing them conscious insult. I have NO tolerance for those Jews who use racial slurs. Chanting against Arabs and so forth is against the rules of Judaism, and certainly against our spirit. Fortunately, it is only a few misguided souls, and not a real representation of the by-and-large respectful Jewish majority. Nonetheless, if it exists, it must be stamped out.
Furthermore, on a personal level, Jews are forbidden to insult one another. It is called "Onaat devarim" and it is a sin. It is even forbidden to use a nickname that may embarass the other person. To call them "pickles" as a term of endearment is OK if they don't mind, but to call the "bus" if they have a weight problem is really wrong. Any insulting nickname or racial slur is out of bounds.
Where I diverge from political correctness is when it comes to stifling one's legitimate views to avoid offending people who disagree. This isn't political correctness or sensitivity. It's "kissing up" and it's disgusting.
I say that anyone who is offended by a different point of view is at best a baby and at worst a fascist. Beware the thought police.
A prime example is the issue of settlements and Israel. It is eminently clear that the settlements are a convenient excuse for the Arabs to not make peace. True, they cause the Arabs some inconvenience in their traveling, but that isn't due to settlements. It's due to terrorism. If there were no terrorism, there'd be no need for those roadblocks to protect settlements.
But that's not the politically correct, so don't you dare say it. Otherwise, you'll be roundly condemned and not invited back. Don't blame the lack of peace on terrorists who blow up buses and make war every day. Don't blame war on the warriors, only on the "settlers," who happen to be ordinary people like you and me. They work for a living, give the kids piano lessons, and don't ever hurt anybody. What makes them settlers?
They live in the West Bank.
Oh, and here's another politically incorrect but factually correct tidbit. Mahmoud Abbas, the supposed moderate Palestinian president, earned his PhD with a thesis DENYING THE HOLOCAUST.
But I can't say he's not a sincere peace partner, because that would be politically incorrect. But factually...