Godliness has integrity - everything holds together, because everything that is true is held together by God. So those who fight against God in their hearts will always be inconsistent. The crowds were amazed at Jesus, but could not work out who He was. He was far better than a good rabbi. He taught with authority in a way which made sense, and His miracles were extraordinary ... but they could not see that He was the Son of God. When He rightly said that they were trying to kill Him, they assumed He was demonised with paranoid thoughts.
So, He exposed their inconsistency. They protested that He did 'unlawful work' on the Sabbath when He healed a man, but they allowed circumcision on the Sabbath. Using a knife was considered to be 'working', so by what logic could they allow circumcision and deny the healing of a grown man? There was no logic or consistency because although they were religious, they were ungodly ... fighting against the Son of God and hating Him so much that they wanted to kill Him. So Jesus told them to learn to make right judgements: at the end of time He will judge all people in total fairness and utter consistency (Psalm 98:9).
Godliness brings a consistency to a person's character because their decisions are based on truth. Those who refuse to submit to God cannot make consistently right judgements; their decisions will be crucially flawed. The root problem is that self-centred decisions have a very limited horizon. They do not take anything or anybody else into account, and they are unaffected by God's wisdom: and only God knows how to fit everything together in a way that is right. By making decisions to suit themselves they cannot make right judgements themselves, and are liable to God's judgement.