How is doing 'what is right in the eyes of everyone' different from being 'politically correct'? Paul says in Romans that we should 'Be careful to do what is right in the eyes of everyone'. (Romans 12:17. NIV). However, I would certainly not characterize Paul as being 'politically correct' by any stretch of the imagination.  It made me wonder they sound like the same thing, so how is doing 'what is right in the eyes of everyone' so different from being 'politically correct'?
I think this is a translation issue (so possibly better at BH SE).

Look at the Amplified Translation of Romans 12:17:


  Repay no one evil for evil, but take thought for what is honest and proper and noble [aiming to be above reproach] in the sight of everyone.


See also, eg, KJV and New Living versions of this verse.

The NIV calls this section (v9-21), "Love in action" which I think summarises Paul's thoughts here well. Therefore this is about acting properly toward everyone - not taking on their morality but rather upholding God's standards before everyone.