What does it mean to not look at people from a 'worldly point of view' (2 Corinthians 5:16 NIV)? First up, some context. In the previous few verses, Paul has explained that we're waiting on a new body that God will give us in 'our heavenly dwelling' (2 Corinthians 5:4 NIV). That changes how we could (and should) relate to others. When God gets in and starts to re-furb us into a 'new creation', these changes make us more and more free to live for him (2 Corinthians 5:17).
We must remember that change is a process. We're all still in an earthly form that isn't completely Christ-like. Easy enough to accept about ourselves, but we must remember that others are 'under construction' as well. We need to give grace to others; they are on a journey with God just as we are. The same goes for those who aren't yet Christians. Who knows what God is doing in the deepest places of their heart?
The best response to someone we wish God was 'working-on-a-little-bit-faster', is to make the most of the good we see. Truth is, God holds fast to us despite any pain we cause. When we're open enough with him to accept that, and live 'for him who died for them and was raised again' (2 Corinthians 5:15 NIV), we'll be able to treat others with the same grace.
So what now? Write down five godly qualities you love seeing in others. Today, when you see someone living one of them out, compliment them on it.