I've found that being politically correct is often the same thing as being correct. No one cares about my political opinions, nor do I care about theirs. It's good to keep these things to one's self, imo.
As with most things, I think that concerns regarding 'what people think' are often overblown, and I credit the news media in general with success in achieving a divisive climate which perpetuates the consumption of said media. Some outlets are far more successful than others at sewing this division, in particular any media which makes such a big deal out of cultural issues.
I live in an area where the indigenous inhabitants, (their history going back thousands of years) actually receive some measure of respect by those of us who've settled within their traditional territory.
Now, I could go and make a knife, or any other item, which appropriates the art and craft of these peoples- and would expect to receive some criticism regarding the appropriation. However, in my experience here, it's more likely than not that I'd receive this criticism from those not associated in any way with that culture- as 'proof' of their respect for said culture. Likely from those whose homes were built without permission upon the ancestral territory of these people. Should I care what those people think? My answer is no. What they are doing could be called being politically correct, but I would call it hypocrisy.
If I received criticism from those whose culture I've appropriated, I'd ask questions and find out how to do what I want to do without stepping on toes. That would be politically correct, or in other words, respectful.
Personally, I think it's best to try and avoid hypocrisy, or at the very least to cop to it. Honesty is the best policy, and knowing that and acting like we are not always right is pretty honest.